Write an inequality that represents the cost of making x amount of cakes should not exceed this investment. then Solve this inequality and choose the graph of the solution.

Question

* Make sure to round to the nearest dollar.

Answer 1

Let's say the cost of making one cake is $c. Then, the cost of making x cakes will be x times the cost of making one cake, which can be represented as xc.

We are given that the cost of making x cakes should not exceed this investment. Let's say the investment is $I.

Therefore, the inequality representing the cost of making x cakes should not exceed the investment is:

xc ≤ I

To solve this inequality, we need a specific value for the investment I. Let's say the investment is $500.

Therefore, the inequality becomes:

xc ≤ 500

To graph the solution, let's use the values c = $10 and I = $500.

Substituting these values into the inequality, we get:

10x ≤ 500

Simplifying, we find:

x ≤ 50

The graph of the solution is a line on the coordinate plane where x is less than or equal to 50.