Use the image to answer the question.
A coordinate plane is shown the x-axis labeled from 0 to 40 in increments of 5 and the y-axis labeled from 0 to 900 in increments of 100. An upward slanting line is plotted. The line starts at left parenthesis 0 comma 100 right parenthesis and ends in an arrowhead point at left parenthesis 40 comma 900 right parenthesis.
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=100+20x
y equals 100 plus 20 x
y=20x
y equals 20 x
y=100x
y equals 100 x
y=100x+20x
y equals 100 x plus 20 x
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The correct mathematical equation that explains the function is:
y = 100 + 20x
This equation represents that Victoria gets a flat rate of $100 each week (the y-intercept at (0, 100)) plus $20 for every hour she works (the slope of the line). For every additional hour worked (increase in x), her pay (y) increases by $20. The line plotted on the graph with a y-intercept at 100 and a slope of 20 agrees with this equation. Therefore, the first response is correct.