4y/3 - 3/4 + 5/6y (multiply by) x 2 + 4
4y/3 - 3/4 + 5y/3 + 4
collect like terms: (4y/3 + 5y/3) + ( - 3/4 + 4)
simplify: 3y + 13/4 <----- FINAL ANSWER
The formula is

We have:


Substituting these values into the formula, we have


⇒ divide each term by 16

⇒ find the pair of numbers that multiply to give 4 and sum gives -5 which is -1 and -4

⇒ We have two values of t

⇒


⇒

The time when the projectile reached 64 feet is at t=1 and t=4
Answer:
a). y = 0.25x + 15
b). x = 480 cups
Step-by-step explanation:
(a). Let the equation of the linear function passing through a point (x', y') is,
y - y' = m(x - x')
'm' = slope of the line
b = y-intercept
Two points lying on the linear function will be (200, 65) and (250, 77.5).
Slope of the line 'm' = 
m = 
= 
= 0.25
Therefore, equation of the line passing through (200, 65) and slope 0.25 will be,
y - 65 = 0.25(x - 200)
y - 65 = 0.25x - 50
y = 0.25x + 15
(b). For y = $135 we have to calculate the number of cups of coffee produced.
135 = 0.25x + 15
0.25x = 135 - 15
0.25x = 120
x = 480 cups
Therefore, 480 cups of coffee will be produced.