Rosa earns $12 per hour. In 7.5 hours, she will earn x dollars. Which is a valid proportion that can be used to solve the problem? x/12 = 1/7.5
1/12 = x/7.5
12/1 = x/7.5
12/1 = 7.5/x

A valid proportion that can be used to solve the problem is

Step-by-step explanation:

Given : Rosa earns $12 per hour.

we have to find a valid proportion that can be used to solve the problem if she works for 7.5 hours and earns x dollars.

Let denotes the fraction where x represents the amount she earns and b denotes the hours she works.

Thus, proportion becomes,

Solving for x, we get,

Cross multiply, we get,

Solving further , we get,

Thus, a valid proportion that can be used to solve the problem is

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answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11