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


Sagot :

[tex]21 \geq x[/tex]



[tex]25 \geq 0.99x + 3.99[/tex]

[tex]25-3.99 \geq 0.99x + 3.99-3.99[/tex]  (Subtract 3.99 on both sides)

[tex]21.01/0.99 \geq 0.99x/0.99[/tex]  (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.

[tex]21 \geq x[/tex]

Check:

[tex]0.99(21)+3.99[/tex]  (Multiply)

[tex]20.79+3.99[/tex]  (Add)

[tex]24.78[/tex], which is $25.








25 ≥ 0.99x + 3.99

Subtract 3.99 to both sides:

21.01 
≥ 0.99x

Divide 0.99 to both sides:

21.22 
≥ x

≤ 21.22

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