Question

(50 points to answer 3 questions)

Answer 1

Answer:

y = −55x + 275

The initial value is 5

Mike's distance from home when he begins cycling

Step-by-step explanation:

The equation of a line is

y= mx+b where m is the slope and b is the y intercept

The y intercept is 275

Two points are (0,275) and (5,0)

The slope is (y2-y1)/(x2-x1) = (0-275)/(5-0) = -275/5 =-55

y = -55x+275

The initial value is when x = 0

When x = 0 , y = 5

y = 12-2x

Rewriting

y = -2x+12

This is in the form y = mx +b where the slope is -2 and the y intercept is 12

12 is the initial value or when x = 0.  It would be the distance that he needs to cover.  He needs to go from the library to his house.