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The volume of the water truck is determined by the length of time the sprayer is

ID: 3033129 • Letter: T

Question

The volume of the water truck is determined by the length of time the sprayer is turned on. This relationship can be modeled by a linear function. a. The slope of the function is -528gallons/minute; describe the practical meaning of this value in the context of the problem. b. One solution to this scenario is (4, 1888); describe the meaning of this point in the context of the problem. c. How much water is in the truck after 6.5 minutes? d. State the vertical intercept. e. State the meaning of the vertical intercept as it pertains to the problem. f. Write the linear function using meaningful variables that pertain to the problem.

Explanation / Answer

slope = -528 gallons/minute

Point ( 4 , 1888)

y = mx +c ; 1888 = -528*4 +c

c = 4000

y = 4000 - 528x

d) x = 6.5 minutes:

y = 4000 - 528*6.5 = 568 lit

e) Vertical intercept : 4000 lit

It means intially truck has 4000 lt water

f) y = 4000 - 528x