Step-by-step explanation:
this is a strange rental company charging no daily fees.
but ok.
so, we have a fixed part of the cost : $24
we have to pay that no matter how many miles we drive. even for 0 miles, just to get the keys to the car.
and then we pay $0.35 for every mile driven.
that makes our function
C(x) = 0.35x + 24
and if we drive 40 miles, that makes x = 40.
C(24) = 0.35×40 + 24 = 14 + 24 = $38
it would cost us $38.
Distance formula
D = √((x1 - x2)2 + (y1 - y2)2) We have three distances that we are dealing with. Between the Theater and the Park, between the Theater and the Pier, and between the Park and the pier. In both routes we have to go between the Theater and the Park. The distance between those is the same regardless of which way we go, so we can ignore doing the math for that. That leaves us two distances. Let's plug them in. Theater to PierD = √((0 - 10)2 + (3 - 9)2) = √(100 + 36) ≈ 11.6619 Park to PierD = √((2 - 10)2 + (1 - 9)2) = √(64 + 64) ≈ 11.3137 11.3 < 11.7
One company wants $10 per 3.5 hours, so they want 10 / 3.5 ≈ 2,86 dollars per hour (after rounding to the closest hundreths).
Second company wants $1.25 per half an hour, so they want 2 * 1,25 = 2,50 dollars per hour.
The unit rate is 2,86:2,50
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Answer:
(-2, -3), (1, 6), (2, 9) are plotted in the attached graph
Step-by-step explanation:
For x = -2, y = 3(-2) +3 = -3. The ordered pair is (-2, -3).
For x = 1, y = 3(1) +3 = 6. The ordered pair is (1, 6).
For x = 2, y = 3(2) +3 = 9. The ordered pair is (2, 9).
The graph is attached.