Question

The inequality below represents a situation

3 +0.12% s 10
Which of these word problems could the inequality represent?
A O Allison put $3 in the bank. If the interest rate is 12% per year, for which set of years will the money in her account not exceed $10?
B. Vanessa has a 10-foot rope. How many 0.12.foot pieces can she cut off if the length of the rope that remains must be less than 3 foet?
c. The entrance fee at a carnival is $3, and each ride costs 120. Billy goes to the carnival with $10. How many rides can be possibly take?
D. Jeremy is in a shoe store. How many pairs of dress socks can he possibly buy with $10 if each pair costs $3 and the sales tax is 12%?

Answer 1

• Option C

Explanation:

Inequalities for each problem

A.

• 3 + 3*0.12x ≤ 10 ⇒ 3 + 0.36x ≤ 10

B.

• 10 - 0.12x < 3 ⇒ 3 + 0.12x > 10

C.

• 3 + 0.12x ≤ 10

D.

• 3x( 1 + 0.12) ≤ 10 ⇒ 1.12*3x ≤ 10 ⇒ 3.36x ≤ 10

As we see the matching choice is C