Question

Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you $ 1.25 for selling the first subscription. For each additional subscription​ sold, the magazine company will pay you 15 cents more than what was paid for the previous subscription. How much will you earn by selling 175 magazine​ subscriptions?

Answer 1

Answer: $27.35

Explanation:

First let's find the variables.We will use x to represent the number of subscription sold and y we will represent the amount of money you will get paid.

So we know that , if you sell One You will get $1.25 so we could represent it by the point (1,1.25) .

Now the second statement says that if you sell an additional subscription you will get an additional 15 cents or $0.15.Which means if you sell the second subscription, you will get $1.40 because it is an additional 15 cents. We can also represent that by the point (2,1.40)

Now using the two points come up with an equation.

(1,1.25)

(2,1.40) Find the slope and y intercept.

TO find the slope find the difference between y and divide it by the difference in x.

1.25 - 1.40 = 0.15

1 - 2 = 1

0.15/ 1 = 0.15 So the slope is 0.15

Now use the point to find the y intercept. using the y-intercept formula,

y = mx + b

1.25 = 0.15(1) + b

1.25 = 0.15 + b

-0.15 0.15

b = 1.1

We can now write the equation y = 0.15x + 1.1 to represent the whole situation where x is still the number of subscriptions sold and y is the money you will get paid. Now to find how much you will earn for 175 subscriptions, you will input 175 for x and solve for y.

y = 0.15(175) + 1.1

y = 26.25 + 1.1

y = 27.35

So you will earn $27.35 for 175 subscriptions