Using the formula y=ab/2c, express: the variable c in terms of a, b, and y.
1 answer:
You might be interested in
Answer:
1 is the positive difference in the y-intercept value of f(x) and g(x)
Step-by-step explanation:
The linear function f(x) passes through the points (0, 3) and (2, 7)
Here (0,3) is the point where f(x) crosses y axis
So y intercept = 3
Now we find g(x) from the given table
g(x) is an exponential function
General form of exponential function is g(x)= ab^x
Now we use the given values from the table
When x=2 , g(x)= 18
Plug in the values
=>
(equation 1)
When x=3 , g(x)= 54
Plug in the values
=>
(equation 2)
Divide second equation by first equation
so b = 3
We know 18 = ab^2
Plug in 3 for b
18= 9a
Divide by 9 on both sides
So a= 2
So g(x) becomes
To find y intercept we plug in 0 for x
g(x) = 2(3)^2= 2
So y intercept = 2
y intercept of f(x) is 3 and y intercept of g(x) is 2
Difference is 3-2 = 1
a. As described in the problem you will be paying in the bill $0.15 per minute which means you have a linear relationship where both the total cost of the bill and the minutes will grow at the same rate (the price of the minute times the minutes) like this
where C(t) is the total cost of the cell phone bill and t will be the time in minutes
b. The domain of the function will be the values that we can enter to the function. It is defined in the problem that this cost of the minutes its only up to 600 minutes so there is our limitation for the values that will enter the function. The domain will be between 0 and 600 both included because if he calls 0 minutes the bill will be 0 and if he calls 600 he would pay 0.15 for this last minute as well.