Alicia works at a pretzel factory. In the graph at right, the x-axis represents time in minutes and the y-axis represents the number on pretzels twisted Line A represents the rate at which Alicia twist pretzels. a. Using the graph, draw line B, representing the rate of someone who twists pretzels.

b. Explain how you determined where to draw line B

answer: 180

step-by-step explanation:

12-2=10

20-2=18

18x10=180

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b