1,8,27,64find the rule and show how did you find it
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
we know that
The equation of a exponential function is of the form
where
a is the initial value or y-intercept
b is the base of the exponential function
In this problem we have
----> the y-intercept is given
substitute
we have the other ordered pair (1,10)
substitute the value of x and the value of y and solve for b
substitute
see the attached figure to better understand the problem
Considering that the car does 50 miles per gallon, the linear function for the number of gallons of fuel in Jim's fuel tank, n, in terms of the number of miles x that Jim has driven since filling his tank is given by:
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- Jim's car holds 14 gallons of fuel, hence
.
- Considering it does 50 miles per gallon, and the amount in the tank will decrease, the slope is
.
Hence, the function is:
You can learn more about linear functions at brainly.com/question/25898120