the answer is 24

step-by-step explanation:

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation:

[tex]\newline{\text{the rate of change is change per unit time}}[/tex][tex]\newline{\text{for (x,y), rate of change is }\frac{y_2-y_1}{x_2-x_1} \text{ or change in y divided by change in x}}[/tex][tex]\newline{\text{for function 1, the cost goes up by 75-45=30 each time every hour}}[/tex][tex]\newline{\text{that means that the slope of function 1 is 30 per hour}}[/tex][tex]\newline{\text{for the 2nd function, 40 is added every hour. therefor, the slope is 40 per hour}}[/tex][tex]\bigskip\newline{\text{since 40 per hour> 30 per hour, function 2 has a greater rate of change than function 1}}[/tex][tex]\bigskip\newline{\text{the y intercept is the y value when x is 0}}[/tex][tex]\newline{\text{for function 1, the y value when x is 0 is 45}}[/tex][tex]\newline{\text{for function 2, the y value when x is 0 (or the flat rate) is 50}}[/tex][tex]\newline{\text{since 50> 45, function 2 has a greater y intercept than funciton 1}}[/tex][tex]\bigskip\bigskip\newline{\text{the answers are: }}[/tex][tex]\newline{\text{ function 2 has a greater rate of change than function 1}}[/tex][tex]\newline{\text{function 2 has a greater y-intercept than function 1.}}[/tex]

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