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morgantisch25
12.12.2019 •
Mathematics
Allison is working two summer jobs, making $12 per hour lifeguarding and $8 per hour washing cars. last week allison worked 3 more hours lifeguarding than hours washing cars hours and earned a total of $96. graphically solve a system of equations in order to determine the number of hours allison worked lifeguarding last week, x , x, and the number of hours allison worked washing cars last week, y y.
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Ответ:
Allison worked 6 hours lifeguarding and 3 hours washing cars.
Step-by-step explanation:
Let
Number of hours Allison worked lifeguarding last week = x
Number of hours Allison worked washing cars last week = y
1. Last week Allison worked 3 more hours lifeguarding than hours washing cars hours, then
Lifeguarding:
$12 per hour
$12x in x hours.
Washing cars:
$8 pere hour
$8y in y hours.
2. Allison earned a total of $96, hence
You get the system of two equations:
Plot the graphs of these two equations (see attached diagram). These line intersect at point (6,3), so Allison worked 6 hours lifeguarding and 3 hours washing cars.
Ответ: