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The cost of fun for kids magazine for x number of months is shown below

The cost (C) of another magazine, Family Fun, for x number of months is
given by C-1.99x.

The cost of another magazine, Kidz Comics, is $1.85 for each month. The
annual subscription includes a delivery charge of $10, while the annual
subscription for Fun for kids and Family Fun has no such extra charge
Which annual subscription costs the most?​

1 Answer

4 votes

Answer:

Kidz comic costs the most

Explanation:

Given

Family Fun


C(x) = 1.99x

Kidz Comics


m = 1.85 --- monthly rate


b = 10 --- delivery charge

Required

Which is more expensive

A linear function is represented as:


f(x) = mx + b

Where


m = rate


b = y\ intercept --- i.e. the base charge

So, for Kidz comic; We have:


f(x) = mx + b


C(x) = 1.85x + 10

To calculate the annual cost, we set x = 12; i.e. 12 months.

So, we have:


C(x) = 1.99x ---- Family Fun


C(12) = 1.99 * 12


C(12) = 23.88


C(x) = 1.85x + 10 --- Kidz comic


C(12) = 1.85*12 + 10


C(12) = 22.2 + 10


C(12) = 32.2

By comparison


32.2 > 23.88

Hence, Kidz comic is more expensive

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