Question

Complete the real-world problem that could be modeled by a linear function whose x-intercept is 8 and whose y-intercept is 72.

Jen wants to save ___$ each week she will save ___$. The function shows how much money Jen has left to save each week.
a) Jen wants to save 72$ each week she will save 8$.
b) Jen wants to save 8$ each week she will save 72$.
c) Jen wants to save 72$ each week she will save 64$.
d) Jen wants to save 8$ each week she will save 64$.

Answer 1

A linear function can be represented by the equation y = mx + b, where m is the slope and b is the y-intercept. In this case, the x-intercept is 8 and the y-intercept is 72. The linear function that models the real-world problem is y = -9x + 72.

Step-by-step explanation:

A linear function can be represented by the equation y = mx + b, where m is the slope of the line and b is the y-intercept. In this case, the x-intercept is 8 and the y-intercept is 72. This means that when x = 8, y = 0, and when y = 72, x = 0.

To find the slope of the line, we can use the formula: slope = (change in y) / (change in x). In this case, the change in y is -72 (going from 72 to 0) and the change in x is 8 (going from 0 to 8). Therefore, the slope is -72/8 = -9.

So, the linear function that models the real-world problem is y = -9x + 72. This means that Jen wants to save $72 each week, and for each week that she saves, she will have $9 less to save.