Question

The price, p, for different size orders of custom printed shirts, n, is given in the table.

Number of shirts ordered (n) 1 5 20 100
Price of order (p) $35 $75 $225 $1025
Can a linear equation be used to model the situation? If it can, what is the slope and the y-intercept of the equation?


linear: slope = 40, y-intercept = 35


linear: slope = 10, y-intercept = 25


A linear equation cannot be used.


linear: slope = 15, y-intercept = 0

Answer 1

Yes a Linear Equation can be used and the slope and the y-intercept of the equation are respectively; B: slope = 10, y-intercept = 25

How to Write an equation in Slope Intercept Form?

We are given the coordinates;

(n, p) = (1, 35), (5, 75), (20, 225), (100, 1025)

Now, the way to find the slope is;

m = (y2 - y1)/(x2 - x1)

m = (75 - 35)/(5 - 1)

m = 10

The equation that models this is;

(y - 35)/(x - 1) = 10

y - 35 = 10x - 10

y = 10x + 25

Thus, y-intercept is at x = 0.

y = 10(0) + 25

y = 25

Read more about Slope Intercept form at; https://brainly.com/question/1884491

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