You are working as a cashier. You start with $500 in your cash register and the money in the cash register increases by $1000 each hour. Given: f(x) = 1000x +500 Part A Solve for x when f(x) = 2000 Part B What does the solution mean in context?

The answer is below

Step-by-step explanation:

A linear function is given as y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change and b is the initial value of y (that is when x = 0).

Let x represent the number of hours and f(x) the amount of money in the cash register. Given that the cash register increases by $1000 each hour and the initial value of money in the cash register is $500. hence:

f(x) = 1000x + 500

a) At f(x) = 2000

2000 = 1000x + 500

1000x = 1500

x = 1500/1000

x = 1.5 hours

b) This means that after 1.5 hours, the amount of money in the cash register is $2000

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

its kind of blurry. can you put a clearer pic?

step-by-step explanation: