Question

The graph shows the relationship between the amount of change given from a $10 bill and the number of bagels purchased.

What function represents the amount of change given from a $10 bill, f(x), based on x, the number of bagels purchased?

A. f(x) = 4/3x + 10
B. f(x) = -4/3x + 10
C. f(x) = 3/4x + 10
D. f(x) = -3/4x + 10

Answer 1

Answer: i believe the answer is D

Explanation:

Answer 2

The graph is a linear graph

The equation of a linear graph is given in the form
`y=mx+c` where
`m` is the gradient and
`c` is the y-intercept

To find gradient:
Choose any two coordinates that lie on the line.
We choose (4,7) and (0, 10)

`m= ( y_(1)- y_(0))/( x_(1)- x_(0) )`

`m= (10-7)/(0-4) =- (3)/(4)`

the graph crosses the y-axis at 10, so the value of
`c=10`

Forming the equation

`y=- (3)/(4) +10`

Answer: D