Answer:
1. C(m) = 24.95 + 0.05m
2. $34.95
3. 250 miles
Step-by-step explanation:
1. Let's say C(m) is a function that determines the Cost in $ for every mile you drive. Since for any rental, no matter if you drive or not, you have to pay an upfront cost of rental, r, there is a constant you need to add ($24.95 in this case.)
2. Use your equation from part 1 to get C(200) = 24.95 + 0.05(200), this equalts 34.95 dollars.
3. Here, you want to find m (distance). It is given that C(m) = 37.45 (this is the total cost from equation (1). Subtract 24.95 from C(m) to isolate the 0.05(m) part. Thus, 0.05(m) = 37.45 - 24.95 = 12.5. Here, simply divide 12.5 by 0.05 to obtain m, which is 250 miles.
Answer:
3.14 yards^2
Explanation:
The formula for the area of a circle is pi times the radius^2.
You have to substitute a yard into the radius.
Answer:
Graph C
Step-by-step explanation:
We know the speed is equal to one and a half times the square root of the length. This means that speed is the dependent variable (y), and length is the independent variable (x).
Since the speed, S(x), is 1.5 times the square root of the length (x), we get the function
S(x) = 1.5√x.
When x = 0, S(x) = 1.5√0 = 1.5(0) = 0. This makes it graph C.
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