Q:

Three points of a function are graphed. A coordinate plane with 3 points plotted at (10, 18), (14, 24), and (18, 30).Which statement describes the function through the points?The function is a direct variation function with a constant of variation of 1.5.The function is a direct variation function with a constant of variation of 1.8.The function is linear but is not a direct variation function. The function is not a linear function.

Accepted Solution

A:
Answer:The correct answer is The function is a direct variation function with a constant of variation 1.5.Step-by-step explanation:One way to see if this is a linear function is to see by how much the x and y increase each time:x   |  y10 | 1814 | 2418 | 30X is increasing by 4 each time, and y is increasing by 6. This is a linear function. Divide the y by the x to get the slope. 6 ÷ 4 = 1.5This is a linear function and its slope is 1.5.Hope this helps,♥A.W.E.S.W.A.N.♥