Question

The members of a basketball team are selling T-shirts during spirit week. The cost is $20 for the design and $1.50 to print each T-shirt. The cost, y, to print x T-shirts is y=1.5x+20. Interpret the slope and the y-intercept.

Answer 1

Slope of 1.5 means that the printing of each new t-shirt is of $1.50.

The y-intercept of 20 means that the fixed cost, that is, the cost without printing the t-shirts, only the design, is of $20.

Explanation:

Equation of a line:

An equation of a line has the following format:

`y = mx + b`

In which:

m is the slope, which is the increase in y when x increases by 1.

b is the y-intercept, which is the value of y when x = 0.

The cost, y, to print x T-shirts is y=1.5x+20.

Slope of 1.5 means that the printing of each new t-shirt is of $1.50.

The y-intercept of 20 means that the fixed cost, that is, the cost without printing the t-shirts, only the design, is of $20.