Luke is driving from his house to the store. after driving 16 miles at a constant speed of 0.8 mile/minute, he realizes that he forgot his wallet. so, he turns around and drives all the way back to his house at the same speed. the equation below models luke's distance, in miles, from home as he drives for t minutes.
using the given equation, match the number of minutes since luke started driving from his house to his distance from the house.

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9

soo this can be solve by using the formula:

f = p( 1 + i)^ n

where f is the future profit

p is the initial profit

i is the percent increase

n is the number of years

a . f = 30000 ( 1.05)^n

b. f = 30000 ( 1.05)^15

f = $62,368

answer: $13,622.84

step-by-step explanation: check the picture for info and stats : )