Jonah purchased a tablet from a store on credit. He is charged no interest and makes a payment each month. The function graphed models Jonah's account balance, y, at the store, in dollars, after x months. What do the key features of the graph indicate in this situation? Drag and drop the answers into the boxes.

Jonah purchased a tablet from a store on credit. He is charged no interest and makes a payment each month. The function graphed models Jonah's account balance, y, at the store, in dollars, after x months.

What do the key features of the graph indicate in this situation?

Drag and drop the answers into the boxes.

The ______ indicates that Jonah will have paid off the tablet after ______ months.

0 12 50 600 x-intercept y-intercept slope

Solution : In the below graph,

x-axis represents the number of months and y-axis represents the credit card balance after x months,

Since, slope of the line is positive,

Thus, the amount are paying off.

Again by the graph,

i.e. when x = 0 months, y = -$600

So, the credit card balance is -$600 initially,

Also, x = 12 months, y = $ 0

i.e. the credit card balance is $ 0 in 12th months.

Now, the x-coordinate of the point at which the graph intercept x-axis is called x-intercept of the graph.

Thus, x-intercept of the line is 12.

Hence, the x-intercept indicates that Jonah will have paid off the tablet after 12 months.