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?

Answer 1

The answer is there by see there is a possible number of song can buy

Answer 2

`1.5m+1\leq 25` or
`1.5m\leq 24` or
`m\leq (24)/(1.5)` or
`m\leq 16`

Explanation:

Activation cost = $1

Cost of 1 song = $1.5

Let m be the number of songs

So, Cost of m song = $1.5m

So, Total cost of m songs including activation cost=
`1.5m+1`

He has a gift card of $25

So, He can make a purchase of less than or equal to $25

So, inequality becomes:
`1.5m+1\leq 25`

or

`1.5m\leq 24`

or

`m\leq (24)/(1.5)`

or

`m\leq 16`

Hence inequalities can represent this situation if m is the number of songs he can buy is
`1.5m+1\leq 25` or
`1.5m\leq 24` or
`m\leq (24)/(1.5)` or
`m\leq 16`