Victoria gets paid $100 as a flat rate each week, as well as $20 per hour. Let y equal the amount Victoria gets paid per week and x equal the number of hours she works per week. Given that the graph shows the set of all solutions, what is the mathematical equation that explains the function?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0Ay=100+20x%0D%0Ay equals 100 plus 20 x%0D%0A%0D%0Ay=100x+20x%0D%0Ay equals 100 x plus 20 x%0D%0A%0D%0Ay=100x%0D%0Ay equals 100 x%0D%0A%0D%0Ay=20x

Question

Victoria gets paid $100 as a flat rate each week, as well as $20 per hour. Let y equal the amount Victoria gets paid per week and x equal the number of hours she works per week. Given that the graph shows the set of all solutions, what is the mathematical equation that explains the function?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0Ay=100+20x%0D%0Ay equals 100 plus 20 x%0D%0A%0D%0Ay=100x+20x%0D%0Ay equals 100 x plus 20 x%0D%0A%0D%0Ay=100x%0D%0Ay equals 100 x%0D%0A%0D%0Ay=20x

Answer 1

The mathematical equation that explains the function, with y representing the amount Victoria gets paid per week and x representing the number of hours she works per week, is:

y = 100 + 20x

This equation means that Victoria gets a flat rate of $100 every week, plus an additional $20 for every hour she works. Therefore, the total amount she earns in a week is the sum of her flat rate ($100) and her hourly earnings (20 times the number of hours she works).