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the function g(x) is shown on the table. suppose f(x) = −2x + 5. which statement is true when comparing the two functions?
a) f(x) is an increasing function, and g(x) is a decreasing function.
b) g(x) is an increasing function, and f(x) is a decreasing function.
c) both functions are increasing.
d) both functions are decreasing.

Option B) g(x) is an increasing function, and f(x) is a decreasing function.

Step-by-step explanation:

1) we have

This is a linear function

The unit rate or slope is negative

That means ----> Is a decreasing function

2) we have

g(x)

Looking at the table we notice that

The function g(x) is a increasing function, because the y-value increases as the x-value increases

therefore

g(x) is an increasing function, and f(x) is a decreasing function

i think the answer is true

step-by-step explanation:

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x