Lonnie is planning a road trip. His destination is 450 miles away. The function d=kt

Question

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

Answer 1

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