Question

Last weekend, Bryce sold chocolate chunk cookies to raise money for the local animal shelter. This weekend, he plans to raise more money by selling fudge brownies. The total amount Bryce raises over both weekends depends on the number of brownies he sells this weekend. This situation can be modeled as a linear relationship. What does the y-intercept of the line tell you about the situation?

a. It represents the slope of the line.
b. It represents the number of cookies Bryce sold last weekend.
c. It represents the total amount Bryce raises by selling brownies.
d. It represents the x-coordinate of the point where the line intersects the x-axis.

Answer 1

In Bryce's situation of selling cookies and brownies for a fundraiser, the y-intercept (b) of the linear equation y = mx + b represents the amount he raised from selling cookies last weekend, before any brownies are sold.

Step-by-step explanation:

The situation involving Bryce selling cookies and brownies to raise money for the local animal shelter can be modeled as a linear relationship. In such a linear relationship, the equation of the line is typically written as y = mx + b, where m represents the slope and b represents the y-intercept. The y-intercept, in this context, tells us the initial amount Bryce raised from selling cookies last weekend before he starts selling brownies.

The correct answer to the question of what the y-intercept of the line tells you about the situation is b. It represents the number of cookies Bryce sold last weekend. The y-intercept is the value of y when x is zero. It is not the slope, the total amount raised by selling brownies, nor the x-coordinate of the line's intersection with the x-axis.