rainbowboy9231
24.06.2021 •
Mathematics
Suppose that a car rental agency charges a fixed amount per day plus an amount per mile for renting a car. Heidi rented a car one day and paid $52 for 180 miles. On another day she rented a car from the same agency and paid $77.50 for 350 miles. Find the linear function f(x) (where x is in miles and f(x) is in dollars) that the agency could use to determine its daily rental charges. f(x) =
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Ответ:
9514 1404 393
f(x) = 0.15x +25
Step-by-step explanation:
We are given two points:
(x, y) = (180, 52) or (350, 77.50)
The slope is given by ...
m = (y2 -y1)/(x2 -x1)
m = (77.50 -52)/(350 -180) = 25.50/170 = 0.15
The y-intercept is given by ...
b = y -mx
b = 52 -0.15×180 = 25
Then the equation for the linear function is ...
f(x) = mx +b
f(x) = 0.15x +25
Ответ:
Line L must be perpendicular to both line O and line P as well.
Explanation:
Since N, O and P are all parallel, any line that intersects N will intersect O and P at the same angle. Since L is perpendicular to N, intersecting at a right angle, this means it must be perpendicular to O and P also.