Question

During a flight from Virginia to Nevada, an airplane travels 300 miles every 30 minutes. Which equation models the relationship between the time the airplane travels, x, and the distance it travels, y?

y = -10x

y = 1/10 x

y = -1/10 x

y = 10x

Answer 1

(d) y = 10x

Explanation:

You want the equation representing the distance traveled (y) as a function of time (x) if the airplane travels 300 miles in 30 minutes.

Proportion

The equation representing the proportion is ...

y = kx

Using the given values of y and x, we can find the value of k.

300 = k·30 . . . . . . y is miles, x is minutes

10 = k . . . . . . . . . . divide by 30

The equation for the distance is ...

y = 10x . . . . . . matches choice D

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