Question

You are buying shirts for an organization. You have $120 to spend. The number of short-sleeved shirts y you buy after buying x long-sleeved shirts is y = -1.2x + 24
a) Graph the equation.

b) Interpret the x- and y-intercept.

Answer 1

The given equation is ⇒ y = -1.2 x + 24

Part A : Graph the equation.

To graph the equation, substitute with values of x then find y

The attached figure represents the table to graph the equation and the graph of the equation.

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Part B : x-intercept

To find x-intercept substitute with y = 0 and solve for x

∴ 0 = -1.2 x + 24

∴ 1.2 x = 24

∴ x = 24/1.2 = 20

x-intercept is at point (20,0)

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Part C : y-intercept

To find y-intercept substitute with x = 0 and solve for y

∴ y = -1.2 * 0 + 24

∴ y = 24

∴ y-intercept is at point (0,24)