Mr. Lewis fixes electronic equipment. He uses the function f(x) = 80x + 250 to determine his total charge, f(x), in dollars, where x is the number of hours he works. Which statement represents the rate of change of the function?

Given:

Total charge, f(x), in dollars, for x number of hours is

To find:

The correct statement for the rate of change of the function.

Solution:

Slope intercept form of a linear function is

     ...(i)

where, m is slope and b is y-intercept.

We have,

      ...(ii)

On comparing (i) and (ii), we get

Therefore, the slope or rate of change of the function is 80 and it represents that per hour changes are 80.

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.