Question

Shawn has a budget of $50 per month to spend on bus fare. He made a table showing the total amount of bus money he will have left after the given number of rides.

Number of rides 0 9 18 27
Total amount of bus money left ($) 50 41 32 23

Which equation, in standard form, represents the relationship between the number of bus rides, x, and the amount of bus money Shawn will have left, y?

50x = y
x + y = 50
50y = x

Answer 1

x+y= 50 took the test

Explanation:

Answer 2

x+y = 50

Explanation:

We can find the slope of the line

m = (y2-y1)/(x2-x1)

= (50-41)/(0-9)

= 9/-9

=-1

We can use the point slope form of the equation to make an equation for a line

y-y1 = m(x-x1)

y-50 = -1(x-0)

y-50 = -x

To get it in standard from, subtract y from each side

y-y-50 = -x-y

-50 = -x-y

Multiply each side by -1

50 = x+y

x+y = 50