Question
The amount Troy charges to mow a lawn is proportional to the time it takes him to mow the lawn. Troy charges
to mow a lawn that took him
hours to mow.
Which equation models the amount in dollars,
, Troy charges when it takes him h hours to mow a lawn?
A
d=20hd=20hd=20h
B
h=20dh=20dh=20d
C
d=45hd=45hd=45h
D
h=45dh=45dh=45d
Answers
GPT-4o mini
To model the situation described, we need to establish the relationship between the amount Troy charges (denoted as \( d \)) and the time it takes him to mow a lawn (denoted as \( h \)).
We know that the charges are proportional to the time, which can be represented mathematically as:
\[ d = k \cdot h \]
where \( k \) is the constant of proportionality (Troy's rate per hour).
From the statements in your question ("Troy charges..."), it seems you might have missed the actual values that specify how much he charges for a certain amount of time.
However, assuming:
- If the problem states that he charges $20 for \( h \) hours, then the equation will take the form of \( d = 20h \).
- If he charges $45 for \( h \) hours, the equation will take the form of \( d = 45h \).
Based on the options presented and assuming Troy charges $20 or $45:
- If he charges $20 per hour, the correct option is:
**A: \( d = 20h \)**
- If he charges $45 per hour, the correct option is:
**C: \( d = 45h \)**
You would select the corresponding answer based on the charge amount you have. If you provide that amount, we can confirm the correct answer from the options.
We know that the charges are proportional to the time, which can be represented mathematically as:
\[ d = k \cdot h \]
where \( k \) is the constant of proportionality (Troy's rate per hour).
From the statements in your question ("Troy charges..."), it seems you might have missed the actual values that specify how much he charges for a certain amount of time.
However, assuming:
- If the problem states that he charges $20 for \( h \) hours, then the equation will take the form of \( d = 20h \).
- If he charges $45 for \( h \) hours, the equation will take the form of \( d = 45h \).
Based on the options presented and assuming Troy charges $20 or $45:
- If he charges $20 per hour, the correct option is:
**A: \( d = 20h \)**
- If he charges $45 per hour, the correct option is:
**C: \( d = 45h \)**
You would select the corresponding answer based on the charge amount you have. If you provide that amount, we can confirm the correct answer from the options.