9. if y = 30 when x = 7, find x when y = 12.

I have my work at the bottom but to explain you have to divide 30/12, and I got 2.5. That means 30 is 2.5 times bigger than 12. Because we have to find x, we have to divide 7/2.5, to find what is 2.5 times smaller than 7. That’s 2.8. So, x= 2.8

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  A) The slope of f(x) is the amount of change in f(x) when x changes by 1. The slope of g(x) is the coefficient of x. The slope of f(x) is greater than the slope of g(x).

  B) The y-intercept of f(x) is -1. The y-intercept of g(x) is -7. The y-intercept of f(x) is greater.

Step-by-step explanation:

A) The slope of a function is the ratio of the change in function value to the change in input value. For f(x), we can use the convenient inputs 0 and 1 and look at the change in output (f(1) -f(0)) = (3 -(-1)) = 4. The slope of f(x) is 4.

When the function is given by a linear equation, the slope is the coefficient of x. For g(x), the coefficient of x is 2, so the slope of g(x) is 2.

The slope of f(x) (4) is greater than the slope of g(x) (2).

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B) The y-intercept is the function value for an input of 0. The table shows f(0) = -1. The equation shows g(0) = -7.

The y-intercept of f(x) (-1) is greater than the y-intercept of g(x) (-7).