Question

Jennifer's bank account is modeled by the following equation where equals the number of months and y equals the balance: y = 24x + 50

Answer 1

Part A: 50 dollars

Part B: y=28x+60

Part C: Jennifer is wrong

Part D: William will a greater balance

Explanation:

A: Jennifer's equation is represented in slope-intercept form, or y=mx+b, where m is how much she earns per month, and b is her initial value, therefore, her initial value is 50.

B: Using the table, we can use y=mx+b as a formula. We first find the slope by doing 88-60=28. Then we see that at month 0, his initial value is 60, leaving us with y=28x+60.

C: Using the slopes for both equations, we see the William's balance is growing by 28, 3 more than Jennifer's 25.

D: We can plug in 12 for x for both equations. 25(12) + 50 = 338 28(12) + 60 = 396

Answer 2

50

Explanation:

Jennifer's bank account started with 50 because that's the y-intercept in the equation (y= mx+b). b is always what you start with.