Question

Raina earns 13 dollars each hour working part-time at a bookstore. She earns one additional dollar for each book that she sells. Let A be the amount (in dollars) that Raina earns in an hour if she sells B books. Write an equation relating A to B. Then graph your equation using the axes below.

Answer 1

Answer: (5, 18).

Step-by-step explanation:

To write an equation relating the amount Raina earns (A) to the number of books she sells (B), we need to consider that Raina earns $13 per hour and earns an additional $1 for each book sold.

The equation can be written as:

A = 13 + B

In this equation, the constant term 13 represents Raina's base earnings of $13 per hour, and the coefficient of B, which is 1, represents the additional earnings per book sold.

To graph this equation, we can use a coordinate plane with A representing the y-axis (vertical axis) and B representing the x-axis (horizontal axis).

We can plot points on the graph by selecting different values for B and finding the corresponding values of A using the equation.

For example, if Raina sells 0 books (B = 0), her earnings would be:

A = 13 + 0 = 13

So, one point on the graph would be (0, 13).

Similarly, if Raina sells 5 books (B = 5), her earnings would be:

A = 13 + 5 = 18

So, another point on the graph would be (5, 18).

By plotting more points using different values of B and corresponding values of A, we can connect these points to form a straight line on the graph. This line represents the relationship between the number of books Raina sells and the amount she earns in an hour.