Question

Under his cell phone plan, Noah pays a flat cost of $44

per month and $5 per gigabyte. He wants to keep his bill
under $50 per month. Which inequality can be used to
determine x, the maximum number of gigabytes Noah
can use while staying within his budget?
5(x +44) > 50
5(x +44) < 50
44 + 5x < 50
44 + 5x > 50

Answer 1

$44 + $5x < $5

Explanation:

Noah must pay $44 up front, monthly; this is represented by the y-intercept of the straight line graph of the cost function. He pays $5 per gigabyte. The total monthly cost to him is

C(x) = $44 + ($5/gigabyte)x which must be less than $50/month. Symbolically, this is

$44 + $5x < $50, which is the same as the last of the the four given possible answer choices.