Question

An apartment building had 70 apartments occupled during its first month in operation. Based on the data from a similarbullding, management estimated the equation of the line of best fit for the number of occupled apartments in the newbuilding as y = 16x + 70, where x is the number of months since the building opened. In reality, problems with theplumbing and structure resulted in the occupancy numbers decreasing at the rate they were expected to increase. Thisdecrease started one month after the bullding opened. Which is the best choice for the equation for the line of best fitfor the building?A) y = -16x + 70B) y = 1/10x + 70C) y = -16x - 70D) y = -1/10x + 70

Answer 1

openedThe equation of the line best fit is

y = 16 x + 70

That means

The rate of increase is 16 per month

Since the decrease started one month after the building opend

Which means the rate of change will be negative

Since the rate is 16

Then It will change to -16

The constant value of 70 will not change

So the best choice for the equation of the line best fit is

y = -16 x + 70

If x = 0, y = 70

If x = 1, y = -16 + 70 = 54

The value of y is decreases

The answer is A