The model below represents an equation. Write the equation that is modeled then find what value of x makes the equation true.
1 answer:
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Answer:
a) C(d) = 37.95 + 0.62d
b) C(74) = 37.95 + 0.62(74)
83.8 dollars
c) 8181 miles
Step-by-step explanation:
The company charges a fee of 37.95 just for the rent and then 0.62 dollars per mile.
So if one person travels one mile they will pay:
37.95 + 0.62
Two miles: 37.95 + 0.62 (2)
Three miles: 37.95 + 0.62 (3)
d miles: 37.95 + 0.62(d)
Thus, the function C(d) that gives the total cost of renting the truck for one day if you drive d miles would be C(d) = 37.95 + 0.62d
Now, if we drive 74 miles, the function that gives us the cost would be:
C(74) = 37.95 + 0.62(74) = 37.95 + 45.88 = 83.83 = 83.8 dollars
Now, if we have 5110 dollars on our budget, we would have to substitute this in our function to know how many miles we can drive with that amount:
Thus, we could drive 8181 miles