5. Joann and Bill are fishing enthusiasts, and they both heard that large striped bass were biting around the local dam, so both are taking their boats from the bridge to go fishing at the base of the dam, which is 60
miles away. Joann rose early to head to the dam. Her boat averaged 20 mph. Bill did not leave until 15
minutes after Joann. His boat averaged 30 mph. Did Bill overtake Joann on the trip? If so, when and at
what distance from the bridge?

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

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