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?

Question

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Respuesta :

MrRoyal MrRoyal · Answer 1 · 2021-05-12T05:21:25+02:00

Answer:

Kidz comic costs the most

Step-by-step explanation:

Given

Family Fun

[tex]C(x) = 1.99x[/tex]

Kidz Comics

[tex]m = 1.85[/tex] --- monthly rate

[tex]b = 10[/tex] --- delivery charge

Required

Which is more expensive

A linear function is represented as:

[tex]f(x) = mx + b[/tex]

Where

[tex]m = rate[/tex]

[tex]b = y\ intercept[/tex] --- i.e. the base charge

So, for Kidz comic; We have:

[tex]f(x) = mx + b[/tex]

[tex]C(x) = 1.85x + 10[/tex]

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

So, we have:

[tex]C(x) = 1.99x[/tex] ---- Family Fun

[tex]C(12) = 1.99 * 12[/tex]

[tex]C(12) = 23.88[/tex]

[tex]C(x) = 1.85x + 10[/tex] --- Kidz comic

[tex]C(12) = 1.85*12 + 10[/tex]

[tex]C(12) = 22.2 + 10[/tex]

[tex]C(12) = 32.2[/tex]

By comparison

[tex]32.2 > 23.88[/tex]

Hence, Kidz comic is more expensive