A car mechanic charges an initial fee to inspect a car plus an hourly rate to repair the car if no new parts are needed. The total charges for the inspection and repair of cars with no new parts needed are shown in the table below. Which equation best represents the linear relationship between y, the total charges in dollars, and x, the number of hours the mechanic worked?

y
=
x
+
35

y = x + 35

y
=
x
+
60

y = x + 60

y
=
35
x
+
25

y = 35 x + 25

y
=
35
x
+
60

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

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there are 25 people coming to the party

step-by-step explanation:

the text says that there will be 22 children at this party, 1 teacher, and 2 parents. so if you add them all together (22+1+2) it will equal 25. (=25)