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
7.5
7.5
450
450
3375
3375
60
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
7.5
7.5
450
450
3375
3375
60
Answers
GPT-4o mini
To find the value of \( k \) (the rate at which Lonnie drives in miles per hour), we know that Lonnie wants to cover a distance of 450 miles in 7.5 hours.
We can use the function \( d = kt \) to find \( k \).
Here,
- \( d = 450 \) miles (the total distance),
- \( t = 7.5 \) hours (the time taken).
We can rearrange the formula to solve for \( k \):
\[
k = \frac{d}{t}
\]
Substituting in the values:
\[
k = \frac{450 \text{ miles}}{7.5 \text{ hours}} = 60 \text{ miles per hour}
\]
So, the value of \( k \) that Lonnie must use is:
60
We can use the function \( d = kt \) to find \( k \).
Here,
- \( d = 450 \) miles (the total distance),
- \( t = 7.5 \) hours (the time taken).
We can rearrange the formula to solve for \( k \):
\[
k = \frac{d}{t}
\]
Substituting in the values:
\[
k = \frac{450 \text{ miles}}{7.5 \text{ hours}} = 60 \text{ miles per hour}
\]
So, the value of \( k \) that Lonnie must use is:
60