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

60
60

3375
3375

7.5
7.5

450

Answer 1

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 \( \boxed{60} \).