Question

under his cell phone plan, brayden pays a flat cost of $66.50 per month and $4 per gigabyte, or part of a gigabyte. (for example, if he used 2.3 gigabytes, he would have to pay for 3 whole gigabytes.) he wants to keep his bill under $85 per month. what is the maximum whole number of gigabytes of data he can use while staying within his budget?

Explanation:

Step1: Set up the inequality

Let $x$ be the number of gigabytes. The cost function is $C = 66.5+4x$. We want $C<85$, so $66.5 + 4x<85$.

Step2: Solve the inequality for $x$

Subtract 66.5 from both sides: $4x<85 - 66.5$, so $4x<18.5$. Then divide both sides by 4: $x<\frac{18.5}{4}=4.625$.

Step3: Find the maximum whole - number value

Since $x$ must be a whole number and $x<4.625$, the maximum whole - number value of $x$ is 4.

Answer:

4