To find the equation of the linear function that models the relationship shown in the table, we need to first determine the slope (m) and the y-intercept (b) of the function.
Using the two points given in the table (4, 38) and (6, 58), we can calculate the slope:
m = (58 - 38) / (6 - 4)
m = 20 / 2
m = 10
Next, we can use the slope and one of the points to find the y-intercept:
y = mx + b
38 = 10(4) + b
38 = 40 + b
b = -2
So, the equation of the linear function that models the relationship shown in the table is y = 10x - 2, which is option A.
Therefore, the correct answer is:
A. y = 10x - 2
Use the table to answer the question.
x y
4 38
6 58
Write the equation of the linear function that models the relationship shown in the table.
A. y=10x−2
B. y=−10x+78
C. y=x+34
D. y=10x+2
1 answer
1 answer