Question

A recipe for chocolate chip cookies uses 3 tablespoonsof cookie batter for every 2 tablespoons of chocolatechips.Use b for the number of tablespoons of cookie batterand c for the number of tablespoons of chocolate chips.Write an equation that represents the graphed line.

Answer 1

The variables are:

b: number of tablespoons of cookie batter

c: number of tablespoons of chocolate chips.

The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

$m=\frac{y_2-y_1}{x_2-x_1}$

From the picture, the line passes through (0,0) and (1, 1.5), then its slope is:

$m=\frac{1.5-0}{1-0}=1.5$

From the picture, the y-intercept of the line is 0.

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept. Replacing with m = 1.5, b = 0and changing the variables, we get:

b = 1.5c