Question

A table contains ordered pairs: (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find the initial value.

A. Subtract 3 from both x-values to find the initial value.
B. Divide 42.25 by 3 to find the initial value.
C. Subtract 5 from both x-values to find the initial value.
D. Divide 50.75 by 5 to find the initial value

Answer 1

To find the initial value of a linear relationship from a table of ordered pairs, subtract the x-values from each ordered pair to find the y-intercept.

Step-by-step explanation:

To find the initial value of a linear relationship from a table of ordered pairs, we need to determine the y-intercept. The y-intercept is the value of y when x is equal to zero. In this case, the initial value represents the y-intercept.

To find the initial value, we can choose any of the ordered pairs given in the table. Let's take the pair (3, 42.25). Since 3 is the x-value, we need to find the corresponding y-value at x = 0. To do this, we can subtract 3 from both x-values in the order pairs and find the resulting y-values. In this case, subtracting 3 from 3 gives us 0. So, the initial value or y-intercept is 42.25. Therefore, option A, subtracting 3 from both x-values to find the initial value, is correct.