Question

Federico read the nutritional information on a package of gummy bears. The points on the following coordinate plane show how many gummy bears there are in 23 and five servings. How many gummy bears are there in four servings? a) 75 b) 80 c) 85 d) 90

Answer 1

From the graph presented below, the number of gummy bears that are there in four servings would be b. 80.

How do we solve for four servings looking at the linear increment of the graph?

To find out how many gummy bears there are in four servings, we calculate slope because we see the increment is done linearly.

slope = (y₂ - y₁) / (x₂ - x₁)

slope = (100 - 60) / (5 - 3) = 20

The y-intercept of the line

y = mx + b

b = y - mx = 40 - (20)(2) = 0

the equation of the line is:

y = 20x

Solve for the number of gummy bears in four servings:

y = 20(4) = 80