# cost equation

#### alysha230893

Question: $50 upfront charge and 0.20cents per km A) cost equation for kilometres traveled(d) B)$120 is the cost, what is the distance traveled

#### Cthul

Question: $50 upfront charge and 0.20cents per km A) cost equation for kilometres traveled(d) B)$120 is the cost, what is the distance traveled
Let $$\displaystyle C$$ = Total cost
Let $$\displaystyle d$$ = Distance traveled

They charge to $50.00 plus$0.20 every km.

So,

$$\displaystyle C=0.20d+50$$

If the total cost is \$120.00
Then
Let $$\displaystyle C=120$$

Substitute.
$$\displaystyle 120=0.20d+50$$

Solve for $$\displaystyle d$$

Subtract both sides with 50
$$\displaystyle 120-50=0.20d+50-50$$

$$\displaystyle \Rightarrow$$

$$\displaystyle 70=0.20d$$

Multiply both sides by 5 (to make 0.20=1)

$$\displaystyle 70*5=0.20d*5$$

$$\displaystyle \Rightarrow$$

$$\displaystyle 350=d$$

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