Which function could be a stretch of the exponential decay
1 answer:
Answer:
(x) = 2(1/6)^x
Step-by-step explanation:
To easily solve this problem, we can graph each option using a graphing calculator, or any equation plotting tool.
Case 1
f(x) = 2(6)^x
Case 2
f(x) = 1/2*(6)^x
Case 3
f(x) = 2(1/6)^x
Case 4
f(x) = 1/2*(1/6)^x
By looking at the pictures below, we can tell that the correct option is
Case 3
f(x) = 2(1/6)^x
Since the stretch is done by a factor of 2
You might be interested in
Answer:
D) y = 10 - 0.05x
Step-by-step explanation:
The number of gallons of gas left in the tank of Anna's car can be represented using a linear function in the form
where
x is the number of miles driven
q is the amount of gallons initially in the tank, when x = 0
m is the number of gallons consumed per mile driven
First of all, we observe that:
- The sign of m must be negative, because as the car drives, the number of gallons left in the tank (y) must decrease. Therefore, we can immediately exclude option C)
- The problem says that the car has a small tank. Therefore, the number of gallons in the tank at the beginning must be the minimum possible, so in this case, q = 10
Therefore, the correct function is:
y = 10 - 0.05x
which means that: at the beginning, the tank contains 10 gallons, and 0.05 gallons per mile are consumed as the car moves.