Question

Help me with this question

Answer 1

1) This question is asking for the linear equation of the data in the table.
Remember a linear equation in slope-intercept form for this problem is something like a = cm + b, where c = the slope of the equation, b = the y intercept, and m and a are your variables (and values in the table).

This might be confusing if you haven't learned it! Don't worry, all you need to know is the equation and just plug in values to find b (since that's the number that different in all your answer choices).

2) All your answer options have the same slope, c = -4000. All you want to find is the value of b, the y-intercept.
This value you can find by plugging in a set of values from the table into your equation, knowing c = -4000. Let's plug in the first row of values: m = 1, a = 35000.
a = cm + b
a = -4000m + b
35000 = (-4000)(1) + b
35000 = -4000 + b
39000 = b

3) That means b = 39000. Put b = 39000 and c = -4000 together into your equation a = cm + b to get your final equation:
a = cm + b
a = -4000m + 39000

That is answer choice B.

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Answer: B) -4000m + 39000