By how much does the dependent variable change in response to a change of 1 unit of the independent variable? independent 2 4 6 8 dependent 15 25 35 45 select one or more: a. 1 b. 2 c. 5 d. 10

C) 5

x = independent variable, y = dependent variable

Assuming this is a linear function, each increase of x by 2 leads to y going up by 10. So 10/2 = 5 is the unit increase each time x bumps up by 1.

An alternative is to use the slope formula to get

m = (y2 - y1)/(x2 - x1)

m = (25 - 15)/(4 - 2)

m = 10/2 <--- this expression shows up again

m = 5 < leading to the same answer as before

So we see that the slope formula is a more drawn out method to finding the answer.

w

step-by-step explanation: