Question

Mercedes receives a $25 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded song costs $1.29. Write and solve an inequality to determine m, the number of songs Mercedes can purchase. What is the approximate solution to the inequality? Round to the nearest whole number.
m less-than-or-equal-to 19
m greater-than-or-equal-to 19
m less-than-or-equal-to 32
m greater-than-or-equal-to 32

Answer 1

Let m be the number of songs. Each costs $1.29, and she has $25, so

1.29m ≤ 25.

Divide by 1.29 (positive), m ≤ 25/1.29 ≈ 19.38. Rounding to the nearest whole number gives 19 songs.

So the correct choice is: m less-than-or-equal-to 19.