Question

Help me answer this and explain thank you!

Answer 1

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0) or (0,y)

To find "m", you use the slope formula and plug in two points:

I will use (0, 20) and (2, 80)

(0, 20) = (x₁ , y₁)

(2, 80) = (x₂ , y₂)

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

`m=(80-20)/(2-0)`

`m=(60)/(2)`

m = 30

y = 30x + b

To find "b", you can plug in a point into the equation, or you can look at the graph and find the y value when x = 0.

When x = 0, y is 20, so the y-intercept is 20

y = 30x + 20 The 3rd option is your answer

You could have also just used the information they gave in the beginning and make an equation:

x = the number of days

y = total cost

y = 30x + 20 [$30 per day plus a one time fee of $20]