Question

Sam baby-sat for x hours and earned $75. If he baby-sits for y more hours at the same rate, his total earnings will be $100. Which of the following equations represents this situation? A. 75 + x y = 100 B. 75 + ( 75 x y ) = 100 C. 75 + ( 75 x ) y = 100 D. 75 + ( 75 y ) x = 100

Answer 1

The situation can be modeled with the linear equation:

$75 + y*($75/x) = $100

Which of the following equations represents this situation?

We know that if she wors for x hours, she earns $75.

This means that the amount that she gets per hour is:

R = $75/x.

Now, if she works y more hours, then she gets another $25 (for a total of $100).

We can write this as a linear equation:

y*($75/x) = $25

We can rewrite this as:

$75 + y*($75/x) = $100

So the correct option is B.

If you want to learn more about linear equations:

brainly.com/question/1884491

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