Suppose you have a part-time job delivering packages. Your employer pays yo a flat rate of $9.50 per hour. You discover that a competitor pays employees $2 per hour plus $3 per delivery. How many deliveries would the competitor's employees have to make in four hours to earn the same pay you earn in a four-hour shift?
How would I set up the system of equations for this one?
How would I set up the system of equations for this one?
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Assuming that your employer does not pay you a delivery commission, you can just plug in the values:
y=your pay
x=deliveries
Since 4 is a value, you do not need a variable for hours.
So, your equations would be:
y=9.50*4
y=2*4+3x
Substituting y for 9.50*4:
9.50*4 = 2*4 + 3x
Simplifying:
38=8+3x
Solving:
30=3x
x=10
Therefore, you need 10 deliveries to get the same pay as the competitor.
y=your pay
x=deliveries
Since 4 is a value, you do not need a variable for hours.
So, your equations would be:
y=9.50*4
y=2*4+3x
Substituting y for 9.50*4:
9.50*4 = 2*4 + 3x
Simplifying:
38=8+3x
Solving:
30=3x
x=10
Therefore, you need 10 deliveries to get the same pay as the competitor.
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h = # of hours worked
d = # of deliveries
Employer 1 : 9.50x
Employer 2: 2x + 3d
Find out how much Employer 1 would pay for 4 hours.
Now using the equation for Employee 2, substitute 4 hours in for x and the equation to what Employer 1 would pay for 4 hours.
Step 1: 9.50 * 4 = 38
Step 2: 2* 4 + 3d = 38, solve this equation for d, the number of deliveries needed for each employer to have paid the same amount.
d = # of deliveries
Employer 1 : 9.50x
Employer 2: 2x + 3d
Find out how much Employer 1 would pay for 4 hours.
Now using the equation for Employee 2, substitute 4 hours in for x and the equation to what Employer 1 would pay for 4 hours.
Step 1: 9.50 * 4 = 38
Step 2: 2* 4 + 3d = 38, solve this equation for d, the number of deliveries needed for each employer to have paid the same amount.
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LET THE NO OF DELIVERIES BE X
9.50*4 = 2*4 + 3X
38 = 8 +3X
3X = 30
X = 10 ANSWER
9.50*4 = 2*4 + 3X
38 = 8 +3X
3X = 30
X = 10 ANSWER