xonayelis
Answered

Aaron received a $25 gift card for his birthday. He used it to download a game for $3.99

and some songs for $0.99 each.

The following inequality models the relationship among the quantities in this scenario

where x represents the number of songs Aaron can afford to download:

25 ≥ 0.99 x + 3.99

Show all work to solve the inequality

Verified Answer :

cheer0nerd

\(21 \geq x\)



\(25 \geq 0.99x + 3.99\)

\(25-3.99 \geq 0.99x + 3.99-3.99\)  (Subtract 3.99 on both sides)

\(21.01/0.99 \geq 0.99x/0.99\)  (Divide 0.99 to isolate x)

21.01/ 0.99 is 21.222 bar, so round it to the nearest ones place, which is 21.

\(21 \geq x\)

Check:

\(0.99(21)+3.99\)  (Multiply)

\(20.79+3.99\)  (Add)

\(24.78\), which is $25.








iGreen

25 ≥ 0.99x + 3.99

Subtract 3.99 to both sides:

21.01 ≥ 0.99x

Divide 0.99 to both sides:

21.22 ≥ x

x ≤ 21.22

So he can buy less than or equal to 21 songs.