Question

Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee. Which inequalities can represent this situation if m is the number of songs he can buy? Select two options. 1 + 1.5 m less-than-or-equal-to 25 1 + 1.5 m greater-than 25 25 greater-than 1 + 1.5 m 1 + 1.5 m less-than 25 25 greater-than-or-equal-to 1 + 1.5 m

Answer 1

1.00+1.50m ≤ 25 (1+1.5 m less than or equal to 25)

OR

25 ≥ 1.00+1.50m (25 greater than or equal to 1+1.5m)

Explanation:

Activation Fee = $1.00

Cost of each song = $1.50

Since we are given that he can buy m songs .

So, Cost of m songs = $1.50 m

So, total cost = Activation charge + Cost of m songs = $1.00+$1.50 m

Since we are also given that Miguel can use all or part of his $25 gift card to make a music purchase.

So, the inequality becomes :

=> 1.00 + 1.50m ≤ 25

=> 1.50m ≤ 25-1

=> 1.50m ≤ 25

=> m ≤ 25/1.50

=> m ≤ 16

Hence the inequality that can represent the situation is

1.00+1.50m ≤ 25

OR

25 ≥ 1.00+1.50m

Answer 2

1 + 1.5 m less-than-or-equal-to 25

25 greater-than-or-equal-to 1 + 1.5 m

Explanation:

Available amount $25

Cost of a song= $1.5

One of fee= $1

Number of songs= m

• 25 ≥ 1+1.5m

or

• 1 + 1.5m ≤ 25

is the required inequality

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Correct answer choices:

• 1 + 1.5 m less-than-or-equal-to 25
• 25 greater-than-or-equal-to 1 + 1.5 m