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)
[tex]480+105x=840+60x\\105x-60x=840-480\\45x=360[/tex]
Dividing both sides by 45
[tex]\frac{45x}{45}=\frac{360}{45}\\x=8[/tex]
The two designers will charge same amount for 8 hours.
Keywords: function, division
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