Question

under her cell phone plan, ella pays a flat cost of $58.50 per month and $3 per gigabyte, or part of a gigabyte. (for example, if she used 2.3 gigabytes, she would have to pay for 3 whole gigabytes.) she wants to keep her bill under $65 per month. what is the maximum whole number of gigabytes of data she can use while staying within her budget? answer attempt 1 out of 2 gigabytes submit answer

Explanation:

Step1: Set up an inequality

Let $x$ be the number of gigabytes. The total cost $C$ is $C = 58.5+3x$. She wants $C<65$, so $58.5 + 3x<65$.

Step2: Solve the inequality for $x$

Subtract 58.5 from both sides: $3x<65 - 58.5$, which simplifies to $3x<6.5$. Then divide both sides by 3: $x<\frac{6.5}{3}=\frac{13}{6}\approx2.17$.

Step3: Find the maximum whole - number value

Since $x$ must be a whole number and $x<2.17$, the maximum whole - number value of $x$ is 2.

Answer:

2