A car company uses the table below to show customers the approximate amount of gas used when a car has been driven a certain number of miles. Gas Use
Miles driven
Gallons of gasoline used
110
2.75
220
5.5
300
7.5
430
?

If the car always uses the same amount of gasoline each mile, how many gallons of gasoline would be needed to travel 430 miles?
9.5
10.75
13
15.75
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The variable in a relation who’s value depends on the value of the independent variable is called what?

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

A. plot the data for the functions f(x) and g(x) on a grid and connect the points. x -2 -1 0 1 2 f(x) 1/9 1/3 1 3 9 x -2 -1 0 1 2 g(x) -4 -2 0 2 4 b. which function could be described as exponential and which as linear? explain. c. if the functions continue with the same pattern, will the function values ever be equal? if so, give estimates for the value of x that will make the function values equals. if not, explain why the function values will never be equal.