Sam needs a web designer. Designer A is offering her services for an initial $480 in addition to $105 per hour. Designer B is of

Question

4 years ago

5

fering her services for an initial $840 in addition to $60 per hour. When will the two designers charge the same amount of money?

1 answer:

max2010maxim [7] · Answer 1 · 2022-01-24T04:52:24+03:00

The two designers will charge same amount for 8 hours.

Step-by-step explanation:

Designer A charges;

Initial fee = $480

Charges per hour = $105

Let,

x be the number of hours, therefore, total cost for x hours will be;

A(x) = 480+105x Eqn 1

Designer B charges;

Initial fee = $840

Charges per hour = $60

B(x)=840+60x Eqn 2

When the amount will be same, both functions will be equal, therefore

A(x)=B(x)

$480+105x=840+60x\\105x-60x=840-480\\45x=360$

Dividing both sides by 45

$\frac{45x}{45}=\frac{360}{45}\\x=8$

The two designers will charge same amount for 8 hours.

Keywords: function, division

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