Question content area top Part 1 For the data in the table, tell whether y varies directly with x. If it does, write an equation for the direct variation.

Question

Question content area top Part 1 For the data in the table, tell whether y varies directly with x. If it does, write an equation for the direct variation.

−10| 18
1 |−1.8
25| −45
Question content area bottom Part 1 Write an equation for the direct variation. Select the correct choice and fill in any answer boxes in your choice below. A. y=enter your response here (Use integers or decimals for any numbers in the expression.)

Answer 1

To determine if y varies directly with x, we need to check if the ratio between y and x remains constant. Let's calculate the ratios for the given data:

For the first pair (-10, 18): 18 / (-10) = -1.8
For the second pair (1, -1.8): -1.8 / 1 = -1.8
For the third pair (25, -45): -45 / 25 = -1.8

Since the ratio remains constant for all pairs, we can conclude that y varies directly with x.

To write the equation for direct variation, we can use the formula y = kx, where k is the constant of variation. Since the ratio is -1.8 in all cases, we can write the equation as:

y = -1.8x

Therefore, the correct choice is A. y = -1.8x.

Question content area top Part 1 For the data in the​ table, tell whether y varies directly with x. If it​ does, write an equation for the direct variation.

To determine if y varies directly with x, we need to check if the ratio between y and x remains constant. Let's calculate the ratios for the given data:

Question content area top Part 1 For the data in the table, tell whether y varies directly with x. If it does, write an equation for the direct variation.