Answer:
A. y = 80x
B. g(x) = 80x
C. To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.
Step-by-step explanation:
Part A:
To write an equation, use y= mx where m is the slope, x is the number of days, and y is the rent cost.
x and y remain the same in the equation.
To find m, use the slope formula with (5,465) and (7, 625).
![m=\frac{y_2-y_1}{x_2-x_1}= \frac{625-465}{7-5} =\frac{160}{2} =80](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%20%5Cfrac%7B625-465%7D%7B7-5%7D%20%3D%5Cfrac%7B160%7D%7B2%7D%20%3D80)
It costs $80 a day.
The equation is y = 80x.
Part B:
Function notation replaces Y as g(x). So the equation is g(x) = 80x.
Part C:
To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.
The point-slope form:
![y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5C%5C%5Cm%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points (1, 2) and (3, 6). Substitute:
![m=\dfrac{6-2}{3-1}=\dfrac{4}{2}=2\\\\\boxed{y-2=2(x-1)}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B6-2%7D%7B3-1%7D%3D%5Cdfrac%7B4%7D%7B2%7D%3D2%5C%5C%5C%5C%5Cboxed%7By-2%3D2%28x-1%29%7D)
Answer:
3 : 5
Step-by-step explanation:
The ratio is 9 : 15 , but since we're simplifying to lowest terms, I divided each value by 3
Answer:
b is ya answer hope you have a blessed day
Step-by-step explanation:
False, it's the other way around: you divide the numerator by the denominator.
For example, to evaluate
you divide 8 by 15:
![\dfrac{8}{15} = 8\div 15 = 0.5\overline{3}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B8%7D%7B15%7D%20%3D%208%5Cdiv%2015%20%3D%200.5%5Coverline%7B3%7D%20)