Question

You want to buy a new bike, and your parents will contribute $32.50 toward the cost of the bike. If the most expensive bike is $50.00, how much will you have to spend on the bike? Solve the following inequality 50.00 > 32.50 + x and graph its solution.

Answer 1

Let's think of this inequality for a second.

32.50 + x < 50.

The most expensive bike costs $50, meaning that the most you could spend on the purchase is (50 - 32.50).

50 - 32.50 = 17.5

The most you can spend on the purchase is $17.50

17.50 > x

Answer 2

you will have to spend $17.50 on the bike. 17.50 > x

as for the graph, I assume it would be asking you to graph on a number line. So all you would have to do is go out to 17.50 on the line and make the graph going to the left, because it is saying that x is less than 17.50. If you think about it, X is less than 17.50 because the $50.00 bike is said to be the MOST expensive. So anything less would cause the $17.50 to go down, thus bringing the graph to the left.