Employees at a company make a base salary of $750 each week. employees who work at least 30 hours per week can make the base salary plus $10 per hour for every hour over 30. employees are not allowed to exceed more than 40 hours a week. let x be the number of additional hours each employee works. then, the function f(x) = 10x + 750 represents their weekly earnings.

determine the key features based on the function given for the situation.

the equation has a slope of and a y-intercept at ( the equation has an x-intercept at ).

Explanation:

The function f(x) = 10x+750 is the same as y = 10x+750

It is in the form y = mx+b where m = 10 is the slope and b = 750 is the y intercept. So that covers the first two parts of the answer.

The x intercept is found by replacing y with 0, then solving for x like shown below

y = 10x + 750

0 = 10x + 750

10x + 750 = 0

10x = -750 subtract 750 from both sides

x = -750/10 divide both sides by 10

x = -75

So x = -75 plugged into the function leads to y = 0

Meaning that x = -75 and y = 0 pair up together to get the point (-75,0) which is the x intercept. This is the location where the line crosses the x axis.

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.