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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

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 cha class=

Respuesta :

The graph is a linear graph

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

To find gradient:
Choose any two coordinates that lie on the line.
We choose (4,7) and (0, 10)
[tex]m= \frac{ y_{1}- y_{0}}{ x_{1}- x_{0} } [/tex]
[tex]m= \frac{10-7}{0-4} =- \frac{3}{4} [/tex]

the graph crosses the y-axis at 10, so the value of [tex]c=10[/tex]

Forming the equation
[tex]y=- \frac{3}{4} +10[/tex]

Answer: D

Answer: i believe the answer is D

Step-by-step explanation: