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Matrices — Test

Question 11 • Algebra II

The table shows the number of times the dishwasher was used in three different houses over three days. Dishwasher Use House A House B House C Friday 1 2 2 Saturday 2 3 4 Sunday 2 2 3 On Friday, 17 point 5 total gallons of water were used. On Saturday, 31 point 5 total gallons were used. On Sunday, 24 point 7 5 total gallons were used. What is the difference between the water use per load of the dishwasher that uses the most water and the dishwasher that uses the least water?

Answer
A
0 point 5 gallon
B
3 gallons
C
4 gallons
D
0 point 7 5 gallon

Explanation

Let A, B, and C represent gallons used per dishwasher load in the three houses. Comparing Saturday’s total with Friday’s gives A + B + 2C = 14; comparing Sunday’s with Friday’s gives A + C = 7.25. These equations, together with Friday’s total, give A = 4, B = 3.5, and C = 3.25 gallons per load. The difference between the highest and lowest is 4 − 3.25 = 0.75 gallon, choice D.

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