Question

1. Simplify: 3∙2^42. The graph to the right represents the amount of money in Zach’s savings account after x weeks. What does the y-intercept tell us?

Answer 1

Part 1

we have

3*2^4=3*(16)=48

Part 2

Remember that the y-intercept is the value of y when the value of x is zero

In this context

the y-intercept represents the initial amount in the saving account (week 0)

the y-intercept in this problem is (0,75)

that means

the initial amount was $75