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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  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

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: