The graph below shows the relationship between the price a restaurant store char

Question

The graph below shows the relationship between the price a restaurant store charges for a logo T-shirt and the number of T-shirts bought at that price each day. You can use the graph to help answer the following question. You will not be graded on where you place the objects. Suppose a line passes through the point (8 T-shirts, 3 dollars per T-shirt) and has a slope of -2. Which of the following points also lie along that line? Check all that apply. (9 T-shirts, 1 dollar per T-shirt) (4 T-shirts, 7 dollars per T-shirt) (6 T-shirts, 5 dollars per T-shirt) (6 T-shirts, 9 dollars per T-shirt) (9 T-shirts, 0 dollars per T-shirt) (7 T-shirts, 5 dollars per T-shirt)

Explanation / Answer

Solution: Therefore points (9 Tshirts, 1 Dollar per T shirt) and (7 T-shirts, 5 dollars per Tshirt) lie on this line.

Y = a + b*X

Y = Price

X = Number of T-shirts

slope = b = -2

Y = a - 2*X

X = 8 Tshirts

Y = 3 dollars

3 = a - 2 × 8

a = 19

Y = 19 - 2*X

We get the equation of the line and we can check evry pint which satisfy this equation:-

Two of the points satisfy the above equation (9 Tshirts, 1 Dollar per T shirt) and (7 T-shirts, 5 dollars per Tshirt)

Therefore points (9 Tshirts, 1 Dollar per T shirt) and (7 T-shirts, 5 dollars per Tshirt) lie on this line.

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