function a and function b are linear functions. function a is represented by the table values. function b is represented by the
1 answer:
The y-intercept of B is greater than the y-intercept of A and the rate of change of function A is less than the rate of change of B
<h3>Linear functions </h3>The standard linear equation is expressed as y = mx + b
For the given table;
The y-intercept occur at x = 0
y = 3x + 4
y = 3(0) + 4
y = 4
For the table;
Using the coordinate points (1, 2) and (3,10)
rate of change "m" = 10-2/3-1
m = 8/2
m = 4
Recall that y = mx + b
2 = 4(1) + b
b = -2
Hence the y-intercept of B is greater than the y-intercept of A and the rate of change of function A is less than the rate of change of B.
Learn more on intercept here: brainly.com/question/25722412
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Using an exponential function, it is found that it takes 5.42 years for the car to halve in value.
<h3>What is an exponential function?</h3>A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, the car depreciates 12% a year in value, hence r = 0.12 and the equation is given by:
.
It halves in value at t years, for which A(t) = 0.5A(0), hence:
t = 5.42.
It takes 5.42 years for the car to halve in value.
More can be learned about exponential functions at brainly.com/question/25537936
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