On a recent trip, Lamar's distance varied directly with the number of hours he drove. He traveled 288 miles in 6 hours. Which equation shows Lamar's distance, d, based on the number of hours, h, he drove?

A: 𝑑=6ℎ
B: 𝑑=48ℎ
C: 𝑑=50ℎ
D: 𝑑=288ℎ

d = kh

288 = k*6
so, ...

this makes no sense to me -

I know this is a math problem, but I think someone needs to call the grammar police!

what does this mean---

Ok. Thank you

i dont understand....

To determine the equation that represents Lamar's distance, d, based on the number of hours, h, he drove, we need to identify the relationship between the two variables.

The problem states that Lamar's distance varied directly with the number of hours he drove. This means that if the number of hours he drove increases, his distance would also increase by a constant factor.

We are given that Lamar traveled 288 miles in 6 hours. This information tells us that when h = 6, d = 288.

To find the constant of variation (the factor that relates the distance and time), we can divide the distance by the number of hours:

Constant of variation (k) = d / h

k = 288 / 6 = 48

Therefore, the equation that represents Lamar's distance is:

𝑑 = 48ℎ

Thus, the correct answer is B: 𝑑 = 48ℎ.