Question
Lonnie is planning a road trip. His destination is 450 miles away. The function d=kt
describes the distance d
, in miles, Lonnies travels as a function of the time he spends driving t
, in hours. The value of k
scales the function and describes the rate at which Lonne drives in miles per hour.
If Lonnie wants to reach his destination in 7.5 hours, what value of k
must he use?
(1 point)
Responses
60
60
3375
3375
7.5
7.5
450
describes the distance d
, in miles, Lonnies travels as a function of the time he spends driving t
, in hours. The value of k
scales the function and describes the rate at which Lonne drives in miles per hour.
If Lonnie wants to reach his destination in 7.5 hours, what value of k
must he use?
(1 point)
Responses
60
60
3375
3375
7.5
7.5
450
Answers
GPT-4o mini
To find the value of \( k \) that Lonnie must use in order to reach his destination of 450 miles in 7.5 hours, we can use the equation given:
\[
d = kt
\]
We know that:
- \( d = 450 \) miles (the total distance to his destination)
- \( t = 7.5 \) hours (the time he wants to take)
Substituting these values into the equation gives us:
\[
450 = k \cdot 7.5
\]
To solve for \( k \), we divide both sides by 7.5:
\[
k = \frac{450}{7.5}
\]
Calculating this:
\[
k = 60
\]
Thus, the value of \( k \) that Lonnie must use is \( \boxed{60} \).
\[
d = kt
\]
We know that:
- \( d = 450 \) miles (the total distance to his destination)
- \( t = 7.5 \) hours (the time he wants to take)
Substituting these values into the equation gives us:
\[
450 = k \cdot 7.5
\]
To solve for \( k \), we divide both sides by 7.5:
\[
k = \frac{450}{7.5}
\]
Calculating this:
\[
k = 60
\]
Thus, the value of \( k \) that Lonnie must use is \( \boxed{60} \).