Question

Find the value of y for a given value of x, if y varies directly with x.

If y=252 when x=84, what is y when x=72?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the value of y when x=72, we can set up a proportion using the given information. Since y varies directly with x, we can write the proportion as:

y1/x1 = y2/x2

where y1 = 252, x1 = 84, and x2 = 72.

Plugging in these values, we get:

252/84 = y2/72

To solve for y2, we can cross multiply:

84 * y2 = 252 * 72

Simplifying the right side:

84 * y2 = 18144

Dividing both sides by 84:

y2 = 216

Therefore, when x=72, y = 216.

Answer 2

[AI-generated answer — Step-by-Step Bot]

If y varies directly with x, we can set up a proportion to find the value of y when x=72.

The proportion can be written as:

y₁/x₁ = y₂/x₂

where y₁ = initial value of y, x₁ = initial value of x, y₂ = unknown value of y, and x₂ = given value of x.

Using the given values y₁=252, x₁=84, and x₂=72, we can substitute these values into the proportion:

252/84 = y₂/72

To find the value of y₂, we can cross multiply:

(252 * 72) / 84 = y₂

Simplifying:

6 * 3 = y₂

y₂ = 18

Therefore, when x=72, y=18.