Is my piecewise function right? Problem given below.
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Problem:
A computer shop charges 20 pesos per hour (or a fraction of an hour) for the first two hours and an additional 10 pesos per hour for each succeeding hour. Represent your computer rental fee using the function R(t) where t is the number of hours you spent on the computer.
My answer:
$$R(t) = cases{20 text{ pesos} & if $0 <tle 2$cr
({t-2}) cdot 10 text{ pesos} +40 text{ pesos} & if $t>2$}$$
Please correct me if I have any mistake.
functions
asked Jun 18 '17 at 11:54
JanineJanine
259
$endgroup$
add a comment |
$begingroup$
Problem:
A computer shop charges 20 pesos per hour (or a fraction of an hour) for the first two hours and an additional 10 pesos per hour for each succeeding hour. Represent your computer rental fee using the function R(t) where t is the number of hours you spent on the computer.
My answer:
$$R(t) = cases{20 text{ pesos} & if $0 <tle 2$cr
({t-2}) cdot 10 text{ pesos} +40 text{ pesos} & if $t>2$}$$
Please correct me if I have any mistake.
functions
asked Jun 18 '17 at 11:54
JanineJanine
259
$endgroup$
add a comment |
$begingroup$
Problem:
A computer shop charges 20 pesos per hour (or a fraction of an hour) for the first two hours and an additional 10 pesos per hour for each succeeding hour. Represent your computer rental fee using the function R(t) where t is the number of hours you spent on the computer.
My answer:
$$R(t) = cases{20 text{ pesos} & if $0 <tle 2$cr
({t-2}) cdot 10 text{ pesos} +40 text{ pesos} & if $t>2$}$$
Please correct me if I have any mistake.
functions
asked Jun 18 '17 at 11:54
JanineJanine
259
$endgroup$
Problem:
A computer shop charges 20 pesos per hour (or a fraction of an hour) for the first two hours and an additional 10 pesos per hour for each succeeding hour. Represent your computer rental fee using the function R(t) where t is the number of hours you spent on the computer.
My answer:
$$R(t) = cases{20 text{ pesos} & if $0 <tle 2$cr
({t-2}) cdot 10 text{ pesos} +40 text{ pesos} & if $t>2$}$$
Please correct me if I have any mistake.
functions
functions
asked Jun 18 '17 at 11:54
JanineJanine
259
asked Jun 18 '17 at 11:54
JanineJanine
259
edited Jun 18 '17 at 12:44
user317721
asked Jun 18 '17 at 11:54
JanineJanine
259
asked Jun 18 '17 at 11:54
JanineJanine
259
asked Jun 18 '17 at 11:54
JanineJanine
259
259
add a comment |
add a comment |
1 Answer
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$begingroup$
If i understand you the right way, it should be $ R colon Bbb{N} to Bbb{N} $
$$R(t) = cases{20 {t} & if $0 le t le 2$cr
10({t-2}) +40 & if $t>2$}$$
where $R(t)$ is in pesos.
However this can be a misunderstanding of your first sentence. I think your mistake then would be that he charges 20 pesos per hour in the first two hours that would be 20 pesos each and a total of 40 pesos for two hours.
$endgroup$
$begingroup$
The problem above is exactly the same problem written on my textbook. I thought about what you said too. The first sentence confuses me.
$endgroup$
– Janine
Jun 18 '17 at 12:35
$begingroup$
Okay, so i am pretty sure that its 20 pesos times t. Further should your function only allow integer values or should it be a function of real numbers? Am i allowed to evaluate $R(1.5)$?
$endgroup$
– user317721
Jun 18 '17 at 12:37
add a comment |
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1 Answer
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1 Answer
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$begingroup$
If i understand you the right way, it should be $ R colon Bbb{N} to Bbb{N} $
$$R(t) = cases{20 {t} & if $0 le t le 2$cr
10({t-2}) +40 & if $t>2$}$$
where $R(t)$ is in pesos.
However this can be a misunderstanding of your first sentence. I think your mistake then would be that he charges 20 pesos per hour in the first two hours that would be 20 pesos each and a total of 40 pesos for two hours.
$endgroup$
$begingroup$
The problem above is exactly the same problem written on my textbook. I thought about what you said too. The first sentence confuses me.
$endgroup$
– Janine
Jun 18 '17 at 12:35
$begingroup$
Okay, so i am pretty sure that its 20 pesos times t. Further should your function only allow integer values or should it be a function of real numbers? Am i allowed to evaluate $R(1.5)$?
$endgroup$
– user317721
Jun 18 '17 at 12:37
add a comment |
$begingroup$
If i understand you the right way, it should be $ R colon Bbb{N} to Bbb{N} $
$$R(t) = cases{20 {t} & if $0 le t le 2$cr
10({t-2}) +40 & if $t>2$}$$
where $R(t)$ is in pesos.
However this can be a misunderstanding of your first sentence. I think your mistake then would be that he charges 20 pesos per hour in the first two hours that would be 20 pesos each and a total of 40 pesos for two hours.
$endgroup$
$begingroup$
The problem above is exactly the same problem written on my textbook. I thought about what you said too. The first sentence confuses me.
$endgroup$
– Janine
Jun 18 '17 at 12:35
$begingroup$
Okay, so i am pretty sure that its 20 pesos times t. Further should your function only allow integer values or should it be a function of real numbers? Am i allowed to evaluate $R(1.5)$?
$endgroup$
– user317721
Jun 18 '17 at 12:37
add a comment |
$begingroup$
If i understand you the right way, it should be $ R colon Bbb{N} to Bbb{N} $
$$R(t) = cases{20 {t} & if $0 le t le 2$cr
10({t-2}) +40 & if $t>2$}$$
where $R(t)$ is in pesos.
However this can be a misunderstanding of your first sentence. I think your mistake then would be that he charges 20 pesos per hour in the first two hours that would be 20 pesos each and a total of 40 pesos for two hours.
$endgroup$
If i understand you the right way, it should be $ R colon Bbb{N} to Bbb{N} $
$$R(t) = cases{20 {t} & if $0 le t le 2$cr
10({t-2}) +40 & if $t>2$}$$
where $R(t)$ is in pesos.
However this can be a misunderstanding of your first sentence. I think your mistake then would be that he charges 20 pesos per hour in the first two hours that would be 20 pesos each and a total of 40 pesos for two hours.
edited Jun 18 '17 at 12:38
answered Jun 18 '17 at 12:27
user317721
$begingroup$
The problem above is exactly the same problem written on my textbook. I thought about what you said too. The first sentence confuses me.
$endgroup$
– Janine
Jun 18 '17 at 12:35
$begingroup$
Okay, so i am pretty sure that its 20 pesos times t. Further should your function only allow integer values or should it be a function of real numbers? Am i allowed to evaluate $R(1.5)$?
$endgroup$
– user317721
Jun 18 '17 at 12:37
add a comment |
$begingroup$
The problem above is exactly the same problem written on my textbook. I thought about what you said too. The first sentence confuses me.
$endgroup$
– Janine
Jun 18 '17 at 12:35
$begingroup$
Okay, so i am pretty sure that its 20 pesos times t. Further should your function only allow integer values or should it be a function of real numbers? Am i allowed to evaluate $R(1.5)$?
$endgroup$
– user317721
Jun 18 '17 at 12:37
$begingroup$
The problem above is exactly the same problem written on my textbook. I thought about what you said too. The first sentence confuses me.
$endgroup$
– Janine
Jun 18 '17 at 12:35
$begingroup$
The problem above is exactly the same problem written on my textbook. I thought about what you said too. The first sentence confuses me.
$endgroup$
– Janine
Jun 18 '17 at 12:35
$begingroup$
Okay, so i am pretty sure that its 20 pesos times t. Further should your function only allow integer values or should it be a function of real numbers? Am i allowed to evaluate $R(1.5)$?
$endgroup$
– user317721
Jun 18 '17 at 12:37
$begingroup$
Okay, so i am pretty sure that its 20 pesos times t. Further should your function only allow integer values or should it be a function of real numbers? Am i allowed to evaluate $R(1.5)$?
$endgroup$
– user317721
Jun 18 '17 at 12:37
add a comment |
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