The linear function graphed below represents Tim’s age in the years since he was married. Which of these statements is correct?



A(The initial value is 22, and the rate of change is 1.
B(The initial value is 22, and the rate of change is 15.
C(The initial value is 32, and the rate of change is 1.
D(The initial value is 32, and the rate of change is 15.

The linear function graphed below represents Tims age in the years since he was married Which of these statements is correct AThe initial value is 22 and the ra class=

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Answer:

B) The initial value is 22, and the rate of change is 15.

Step-by-step explanation:

The first point is located at (22, 54).  This means the initial value is 22.

The rate of change is found using the formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Using the first two points, we have

[tex]m=\frac{69-54}{37-22}\\\\=\frac{15}{15}=1[/tex]

Answer:

B

Step-by-step explanation:

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