2) Given that Anna wants to spend less than $60 for the subscription and

only full month subscriptions are offered, what is the maximum

number of months that Anna can subscribe?

A)

6 months

en es

c

uela

B) 7 months

C) 8 months

hati kepada

D)

10 months

Respuesta :

Complete Question:

A music website offering unlimited listening to subscribers charges a one time fee of $12 to join with an additional $6 per month usage fee.

Given that Anna wants to spend less than $60 for the subscription and only full month subscriptions are offered, what is the maximum number of months that Anna can subscribe?

Answer:

7 months

Step-by-step explanation:

Given

[tex]Initial =12[/tex]

[tex]Rate = 6[/tex]

Let the total charges for x months be y.

The equation is generated as:

[tex]y = Initial + Rate* x[/tex]

This gives:

[tex]y = 12 + 6* x[/tex]

[tex]y = 12 + 6x[/tex]

If Anna wants to spend less than $60.

Then the equation becomes:

[tex]y < 60[/tex]

Substitute: [tex]y = 12 + 6x[/tex]

[tex]12 +6x < 60[/tex]

Collect like terms

[tex]6x < 60 -12[/tex]

[tex]6x < 48[/tex]

Solve for x

[tex]x < 48/6[/tex]

[tex]x < 8[/tex]

This implies that she will spend for a maximum of 7 months (because 7 < 8)

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