Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50. On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50. His hourly wage at the library, x, and hourly wage at the coffee cart, y, can be determined using the system of equations below.3x + 2y = 36.50
2x + 5y = 50.00
At which job does Percy earn the greater hourly wage? How much does Percy earn each hour at this job?
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Answer:
Step-by-step explanation:
Ray hired sun and peter to help him move.
Let h represent the number of hours that each of them worked.
Let y represent Ray's total cost for hiring Sun and Peter for h hours.
Sun charged a $20 flat fee and $30 per hour. The total amount that Sun charges would be
20 + 30h
Peter charged $25 per hour. The total amount that Peter charges would be
25h
An expression for Ray's total cost if Sun and Peter each work h hours would be
y = 20 + 30h + 25h
y = 20 + 55h
Answer:
[20+(30+25)]h or (20+55)h
Step-by-step explanation:
20 will not be changed.
Total cost per hour is 55
add $20
Hope this helps
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2y = 3x – 1
B.
x = 3y – 1
C.
y = –3x
D.
9x = 2
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Answer:
Step-by-step explanation:
Definition:
The slope-intercept form of a linear equation is a way of writing a linear equation in which the y-intercept and the slope of the equation are explicitly represented. The y-intercept is the point where the line crosses the y-axis, and the slope is the rate of change of the line.
The slope-intercept form of a linear equation is:
where:
- m is the slope of the line
- b is the y-intercept of the line
In this case, the slope of the line is $3, because Nelson pays $3 for each taco he purchases.
The y-intercept of the line is the admission fee, which we do not know. Therefore, we can write the equation as follows:
To find the value of b, we can use the fact that Nelson spent a total of $30 and purchased 6 tacos. This means that the point (6, 30) is on the line.
We can substitute these values into the equation and solve for b:
30 = 3(6) + b
30 = 18 + b
b = 30 - 18
b = 12
Therefore, the equation that represents the total amount of money Nelson spent, y, in terms of the number of tacos he purchased, x, is:
Step-by-step explanation:
To represent Nelson's expenses at the Taste of Tacos festival with an equation in slope-intercept form (y = mx + b), where y is the total cost and x is the number of tacos purchased, we can break down the cost into two components:
- The admission fee, which is a fixed cost (b).
- The cost per taco, which is $3 (the slope or rate, m).
Given that Nelson spent a total of $30 and purchased 6 tacos, we can set up the equation as follows:
Total Cost (y) = Cost of Admission Fee + Cost of Tacos
y = b + 3x
Now, we know that the total cost (y) is $30, and the number of tacos (x) is 6. Substituting these values into the equation, we get:
30 = b + 3(6)
Now, solve for b:
30 = b + 18
To isolate b, subtract 18 from both sides of the equation:
b = 30 - 18
b = 12
So, the equation in slope-intercept form representing Nelson's expenses at the festival is: