Question

Under her cell phone plan, Mei Mei pays a flat cost of $46 per month and $5 per gigabyte. She wants to keep her bill under $70 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Mei Mei can use while staying within her budget.

Answer 1

The inequality to determine the number of gigabytes Mei Mei can use is 46 + 5g ≤ 70. Solving this gives g ≤ 4.8, meaning Mei Mei can use up to 4 gigabytes to stay within her budget.

Step-by-step explanation:

The student asked how to write and solve an inequality to determine the number of gigabytes, g, Mei Mei can use while staying within her $70 monthly budget for her cell phone plan, which includes a flat cost of $46 per month and $5 per gigabyte. To construct the inequality, we start off by recognizing the flat cost Mei Mei pays every month is $46. The cost for g gigabytes is $5 times g, or $5g. Because Mei Mei wants her total monthly bill to be less than or equal to $70, we combine the flat cost and the cost per gigabyte to create the inequality:

46 + 5g ≤ 70

Subtracting 46 from both sides of the inequality to solve for g gives us:

5g ≤ 24

Dividing both sides by 5 to isolate g:

g ≤ 4.8

Since Mei Mei can't use a fraction of a gigabyte, she can use up to 4 whole gigabytes to keep her bill at or below $70.

Answer 2

To keep her monthly cell phone bill under $70, Mei Mei can use up to 4.8 gigabytes of data. This is figured by subtracting her flat monthly fee from the budget, then dividing by the cost per gigabyte.

Step-by-step explanation:

Mei Mei wants to keep her cell phone bill under $70 per month. We can establish an inequality to determine the number of gigabytes (g) she can use. Her cell phone plan costs $46 per month flat, plus $5 per gigabyte. So, the inequality to represent this is:

46 + 5g ≤ 70

To solve the inequality presented for g:

Subtract 46 from both sides of the inequality to isolate the variable term:

5g ≤ 24

Divide both sides of the inequality by 5 to solve for g:

g ≤ 4.8

Mei Mei can use up to 4.8 gigabytes to keep her monthly bill under $70.