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The total cost C (in dollars) to participate in a ski club is given by the literal equation C=85x+60, where x is the number of ski trips you take.
a. Solve the equation for x.
b. How many ski trips do you take if you spend a total of $315? $485?

Respuesta :

a)
C=85x+60
C-60=85x
(C-60)/85=x

b)
C=$315:
(315-60)/85=
255/85=3 trips

C=$485:
(485-60)/85=
425/85=5 trips

Answer:

a. [tex]x=\frac{C-60}{85}[/tex]

b. 3 and 5 ski trips

Step-by-step explanation:

Given function that shows the total cost for the x trips,

[tex]C=85x+60----(1)[/tex]

a. For solving the above equation for x,

We need to isolate x on the left side of the equation,

From equation (1)

[tex]85x = C - 60[/tex]

[tex]\implies x=\frac{C-60}{85}[/tex]

b. If C = $ 315,

[tex]x=\frac{315-60}{85}[/tex]

[tex]=\frac{255}{85}[/tex]

= 3,

If C = $ 485,

[tex]x=\frac{485-60}{85}[/tex]

[tex]=\frac{425}{85}[/tex]

= 5

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