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Lina20 [59]
2 years ago
6

Tom's Landscaping charges a flat fee for supplies, plus $25 per hour of work. Tom charged a customer $90 for a job that required

3 hours of work. Which equation would calculate the total amount Tom's Landscaping charges for a job that requires x hours of work?
Mathematics
1 answer:
kirza4 [7]2 years ago
5 0

Answer:

c=15+25x

Step-by-step explanation:

From the information given, you can say that the total amount Tom's Landscaping charges for a job would be equal to the flat fee plus the result of multiplying the charge per hour for the number of hours and this would be:

c=y+25x (1), where:

c is the total cost

y is the flat fee

x is the number of hours

Now, as you know that Tom charged a customer $90 for a job that required 3 hours, you can replace c with 90 and x with 3 and solve for y to find the flat fee:

90=y+25(3)

90=y+75

90-75=y

y=15

Finally, as you know that the flat fee is 15, you can replace this value in (1) to establish the equation that would calculate the total amount that Tom's Landscaping charges for a job that requires x hours of work:

c=15+25x

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Step-by-step explanation:

<h3> The complete exercise is: "Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans and rice for a potluck dinner. Let b be the number of pounds of beans Lin buys and r be the number of pounds of rice she buys when she spends all her money on this meal.</h3><h3>1. Write an equation relating the two variables.</h3><h3>2. Rearrange the equation so "b" is the independent variable.</h3><h3>3. Rearrange the equation so "r" is the independent variable."</h3><h3 />

1. According to the information exercise given in the exercise, the cost per pounds of brown rice is $2. Since "r" represents the number of pounds of rice Lin buys, the total cost of the brown rice she buys can be represented with this expression:

2r

The beans cost $1.60 per pound. Since "b" represents the number of pounds of beans Lin buys, the total cost of beans she buys can be represented as:

1.6b

Knowing that she spends $10, you can write the following equation:

2r+1.6b=10

2. In order to rearrange the equation so "b" is the independent variable, you need to solve for "r":

2r+1.6b=10\\\\2r=10-1.6b\\\\r=\frac{10-1.6b}{2} \\\\r=5-0.8b

3. To rearrange the equation so "r" is the independent variable, you must solve for "b". You get:

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