Suppose that y is directly proportional to x.
a. Use the given information to find the constant of proportionality k.
b. Then use y=kx to find y for x=6
y=-58 when x=7
y = k * x
When x = 7 then y = - 58
- 58 = k * 7 Divide both sides with 7
- 58 / 7 = k
k = - 58 / 7
y = k * x
when x = 6
y = - 58 * 6 / 7
x = - 348 / 7
To find the constant of proportionality, let's use the equation y = kx where y is directly proportional to x.
a. To find k, we need to substitute the given values of y and x into the equation and solve for k.
Given information: y = -58 when x = 7
-58 = k * 7
To solve for k, divide both sides of the equation by 7:
-58/7 = k
So, the constant of proportionality is k = -58/7.
b. Now that we have the value of k, we can use the equation y = kx to find y when x = 6.
Substitute the values of k and x into the equation and solve for y:
y = (-58/7) * 6
Multiply -58/7 by 6:
y = -348/7
Thus, when x = 6, y = -348/7.