Attend to precision. The equation y − 160 = 40(x − 1) represents the height in feet, y, of a hot-air balloon x minutes after the pilot started her stopwatch. a. Is the hot-air balloon rising or descending? Justify your answer.
b. At what rate is the hot-air balloon rising or descending? Be sure to use appropriate units.
c. What was the height of the balloon when the pilot started her stopwatch?

Step-by-step explanation:

a. the balloon is rising because the slope is positive. the slope is 40 because when you simplify y-160 = 40 (x-1) it gets you y = 40x +120

b. it is ascending (bc positive) at 40 feet per minute

c. it was at 120 feet in the air. The 120 is the y intercept

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.