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I'm really confused on this one... plz help me!
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Consider the situation where the Robinson family is driving home from visiting their relatives The table driving a certain amount of time, x shows how many miles, y, remain after Use the table, choose all that are correct.

A) The function that models the situation is y- 325 25x

B) The function that models the situation is y- 350-50x

C) The rate of change defined by the function is 50

D) The initial value defined by the function is 350

Im really confused on this one plz help meConsider the situation where the Robinson family is driving home from visiting their relatives The table driving a cer class=

Respuesta :

Answer: Choice B and choice D

The function that models the situation is y = 350 - 50x

The initial value defined by the function is 350

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Explanation:

Each time you increment (increase) x by 1/2 = 0.5 an hour, the y value drops by 25. So this means that each increase of 1 full hour means y drops by 50. The rate of change is -50, not positive 50, so this rules out choice C (which is fairly close but not quite there)

The initial value is 350 because we go backwards on the table. If x decreases by 0.5 hr, then y increases by 25 miles. So we add 25 to the y value in the first row to get 325+25 = 350 as our starting value. This is how far it is from the Robinson home to their relatives' house, which is why choice D is one of the answers.

The other answer is choice B because m = -50 is the slope or rate of change, and b = 350 is the starting value (y intercept), so y = mx+b turns into y = -50x+350 and that's equivalent to y = 350 - 50x. All I did was swap the values since we can add in any order. Because choice B is the proper function, this rules out choice A as an answer.

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