for Christmas, Maryland purchased a subscription to Xbox live.it costs $5 per month plus a $15 sign-up fee.if she received a bill for $120,for how many months did she purchase subscription for her children

Respuesta :

Make an equation: 15 + 5m = 120, where 15 is the sign up fee, 5m represents 5 dollars per month, and 120 represents the total amount spent.

Solve for m, months, to find how many months Maryland purchased subscription for her children.

Subtract 15 from both sides.

5m = 105

Divide both sides by 5.

m = 21

Maryland purchased subscription for 21 months.

The question is an illustration of linear equations.

The number of months she purchased is 21 months

From the question, we have:

[tex]Rate = \$5[/tex] per month

[tex]Signup =\$15[/tex]

[tex]Bill = \$120[/tex]

Let the number of months be x.

So, the bill is calculated using:

[tex]Bill = Signup + Rate \times x[/tex]

Substitute known values

[tex]120 = 15+ 5\times x[/tex]

Subtract 15 from both sides

[tex]105 = 5 \times x[/tex]

Divide both sides by 5

[tex]21= x[/tex]

Rewrite as:

[tex]x = 21[/tex]

Hence, she purchased 21 months subscriptions

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