Question

What is the unit rate of the following graph? Vacation Driving 460 368 276 Distance From Home (miles) 184 92 10 0 2. 4 6 8 Time (hours)

Answer 1

Unit rate

First step

We set up two points that lies on the line. We can observe that the points

(0, 0) and (2, 92) are part of the graphic.

We call (0, 0) our first point and (2, 92) our second point, then

(x₁, y₁) = (0, 0)

(x₂, y₂) = (2, 92)

Second step

We calculate the change of x and the change of y from the first point to the second point:

Δy = y₂ - y₁ = 92 - 0 = 92

Δy = 92 miles

Δx = x₂ - x₁ = 2 - 0 = 2

Δx = 2 hour

Last step

We calculate the unit rate dividing the change of variables:

Δy/Δx = 92/2 = 46

Answer: the unit rate is 46 miles/hour