Ellie bought a plant and planted it in a pot near a window in her house. As the plant grows, its height, in inches, can be modeled by the function
H
(
t
)
=
2
t
+
8
,
H(t)=2t+8, where
t
t is the number of months since Ellie bought the plant. What is the
y
y-intercept of the function and what is its interpretation in the context of the problem?

y intercept = 8 inches

This means that at the point where Ellie bought the plant, it was already 8 inches tall.

Step-by-step explanation:

given that:

H(t)=2t+8

where H is the height in inches and t is the number of months since Ellie bought the plant.

The y-intercept is the point where the graph intersects the y-axis and it occurs at t=0.

If we substitute this into the equation,

H(0) = 2(0) + 8 = 8

Hence at t = 0. the plant is 8 inches tall.

This means that at the point where Ellie bought the plant, it was already 8 inches tall.

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²