Suppose y varies directly with x, and y = 10 when x = –3. What direct variation equation relates x and y? What is the value of y when x = –1?

(1 point)
Responses

y = –x;
y = – Image with alt text: 3 over 10 x; Image with alt text: 3 over 10

y = x; –
y = Image with alt text: 1 over 10 x ; – Image with alt text: 3 over 10

y = x; –
y = Image with alt text: 10 over 3 x ; – Image with alt text: 10 over 3

y = –x;

1 answer

The correct direct variation equation that relates x and y is y = -10/3 x.

When x = -1, we can substitute it into the equation to find the value of y:
y = -10/3 (-1)
y = 10/3

Therefore, when x = -1, y = 10/3.