I'm really confused on this plz 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

Choice B and choice D

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

The initial value defined by the function is 350

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.