The mathematical functions (equations) are matched to their graph line respectively as follows:
- y = 960 - 78x: purple straight line.
- y = 8·3^x: violet line curve that slopes to the left.
- y = 960·(1/2)^x: green line curve that slopes to the right.
<h3>What is a linear function?</h3>
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate. Mathematically, a linear function is given by this equation:
y = mx ± c.
<h3>What is an exponential function?</h3>
An exponential function can be defined as a type of mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:
f(x) = keˣ
Next, we would match each of the mathematical functions (equations) to their graph line respectively as follows:
- y = 960 - 78x: purple straight line.
- y = 8·3^x: violet line curve that slopes to the left.
- y = 960·(1/2)^x: green line curve that slopes to the right.
Read more on graphs here: brainly.com/question/24298987
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Direct variation mean x =ky so y = x/k
(2,14) mean y = kx so 14 = k*2 so 14 = 7*2 so 14 = 14
(4,28) mean y = kx so 28 = k*4 so 28 = 7*4 so 28 = 28
from these result that the 3rd choice is right sure
Lol do your own work. Pay attention in class, it'll pay off ;)
A linear function that includes the points you gave would be:
f(x)=3x+10
OR
y=3x+10
I hope this helps!
