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?

(1 point)
Responses

y=20x
y equals 20 x

y=100+20x
y equals 100 plus 20 x

y=100x+20x
y equals 100 x plus 20 x

y=100x
y equals 100 x

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct mathematical equation that explains the function is:

y = 100 + 20x

Answer 2

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

The correct mathematical equation that explains the function is:

y = 100 + 20x

This equation represents Victoria's weekly pay (y) as a flat rate of $100 plus $20 for each hour worked (20x).

Answer 3

[AI-generated answer — Explain Bot]

The mathematical equation that explains the function is:

y = 100 + 20x

Here's how we can arrive at this solution:

The given problem states that Victoria gets paid a flat rate of $100 each week, as well as an additional $20 per hour worked. This means that the total amount she gets paid per week (y) is the sum of the flat rate ($100) and the hourly rate ($20x, where x is the number of hours worked).

So, the equation becomes:

y = 100 + 20x

This equation represents a linear function, where y is the dependent variable (total amount Victoria gets paid) and x is the independent variable (the number of hours worked). The equation shows that as the number of hours worked increases, the total amount Victoria gets paid increases by $20 per hour.