Question
The amount Troy charges to mow a lawn is proportional to the time it takes him to mow the lawn. Troy charges
30$ to mow a lawn that took him 1.5
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
30$ to mow a lawn that took him 1.5
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 find the equation that models the amount in dollars \( d \) that Troy charges, we first need to determine the constant of proportionality based on the information provided.
Troy charges $30 for mowing a lawn that takes him 1.5 hours. We can express the relationship as:
\[
d = k \cdot h
\]
where \( k \) is the constant of proportionality, \( d \) is the amount charged in dollars, and \( h \) is the time in hours.
Using the information given:
\[
30 = k \cdot 1.5
\]
To find \( k \), we can divide both sides by 1.5:
\[
k = \frac{30}{1.5} = 20
\]
Now we can substitute \( k \) back into the equation:
\[
d = 20h
\]
So, the equation that models the amount in dollars \( d \) Troy charges when it takes him \( h \) hours to mow a lawn is:
\[
d = 20h
\]
Thus, the correct answer is:
**A: \( d = 20h \)**
Troy charges $30 for mowing a lawn that takes him 1.5 hours. We can express the relationship as:
\[
d = k \cdot h
\]
where \( k \) is the constant of proportionality, \( d \) is the amount charged in dollars, and \( h \) is the time in hours.
Using the information given:
\[
30 = k \cdot 1.5
\]
To find \( k \), we can divide both sides by 1.5:
\[
k = \frac{30}{1.5} = 20
\]
Now we can substitute \( k \) back into the equation:
\[
d = 20h
\]
So, the equation that models the amount in dollars \( d \) Troy charges when it takes him \( h \) hours to mow a lawn is:
\[
d = 20h
\]
Thus, the correct answer is:
**A: \( d = 20h \)**