Question

Abbey wants to use her savings of $1,325 to learn yoga. The total charges to learn yoga include a fixed registration fee of $35 and a monthly fee of $50. Choose the inequality that would be used to solve for the maximum number of months for which Abbey can learn yoga with her savings.

a. 35x + 50 ≤ 1,325
b. 35 + 50x ≥ 1,325
c. 35 + 50x ≤ 1,325
d. 35x + 50 ≥ 1,325

Answer 1

c. 35 + 50x ≤ 1,325

Explanation:

Abbey's total cost must be less then or equal to her total savings, i.e.

cost ≤ savings

it is given that cost = fixed registration fee and a monthly fee of $50 per month. Hence,

fixed registration + (monthly fee)*(number of months) ≤ savings

let the number of months be x,

hence

35 + 50x ≤ 1325 (answer c)