Which of the following are feasible equations of a least squares regression line for number of dollars left in an endowment prov

iding college scholarships in each of its first ten years if it was entirely funded by a single donation?
a. y ˆ =269,000+8300x
b. y ˆ =69,000−8300x
c. y ˆ =−269,000−8300x
d. y ˆ =269,000−8300x
e. y ˆ =0−8300x

Mathematics

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Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.6 hours. How much faster does Julia

Svet_ta [12734]

Given that, $speed = \frac{distance}{time}$

Julia completes a 20-mile bike ride in 1.2 hours.

The distance Julia covers is 20 miles and her time taken is 1.2 hours.

Therefore, Julia's speed = $\frac{20}{1.2}$ = 16.67 mph

Katie finishes the same 20-mile ride in 1.6 hours.

Katie’s distance is 20 miles and her time is 1.6 hours.

Hence, Katie's speed = $\frac{20}{1.6}$ = 12.5 mph

To determine how much faster Julia rides compared to Katie, subtract Katie’s speed from Julia’s speed.

Thus, 16.67 mph minus 12.5 mph equals 4.17 mph, approximately 4.2 mph.

Consequently, Julia cycles 4.2 mph faster than Katie.

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