Step-by-step explanation:
The equation of a exponential function is

where a is the y value of the y intercept, b is the constant rate of change.
Here the y intercept is (0,4), the y value of the y intercept is 4.
So a=4
The graph passes through point (1,2) so

Plug in 1 for x, 2 for h(x)

Anything to the first power is itself so

Isolate b.

So our function is

Answer: 7/16 of a yard
Step-by-step explanation:
first we have to find common denominators. 3x=7/8, or 3x=14/16
1/4=4/16 then 14-4-3=7, all over 16.
Answer:
a) 
b) When t = 10, Q = 7.845.
Step-by-step explanation:
The value of a quantity after t years is given by the following formula:

In which
is the initial quantity and r is the rate that it changes. If it increases, r is positive. If it decreases, r is negative.
a) Write a formula for Q as a function of t.
The initial value of a quantity Q (at year t = 0) is 112.8.
This means that
.
The quantity is decreasing by 23.4% per year.
This means that 
So


b) What is the value of Q when t = 10?
This is Q(10).


When t = 10, Q = 7.845.
Answer: I would think
6-0
12-1
30-2
Step-by-step explanation: