Jaden has a part-time job working for a landscaping company. He earns $25 for each lawn-mowing job, l , and $20 for each pulling-weeds job, w . This can be modeled by 25l+20w . Evaluate for l=4 and w=6 to find how much money Jaden will earn for 4 lawn-mowing jobs and 6 pulling-weeds jobs. (1 point)

Question

Alicia works for Thomas Edison Electrical Company. She earns $100 for going to a customer’s house and $65 per hour, h, for the job. This is modeled by 65h+100. Evaluate for h=3 to find how much Alicia will earn for a job that takes 3 hours.

A competitive cliff-diver jumps from a height of 75 feet. Find the number of feet the diver is above the ocean in 2 seconds. Evaluate for t=2 by using the formula 75−16t2, where t is time in seconds.

Gabrielle wants to put a border around her garden. It costs $1.50 per yard for the materials. Use 1.50(2l+2w), where l is the length and w is the width of her garden, to find the cost for a garden that has a length of 4 yards and a width of 3 yards.

Answer 1

Let's evaluate each scenario step by step using the provided formulas.

1. Jaden's Earnings

Jaden's earnings from his jobs can be calculated using the formula:

\[ 25l + 20w \]

where

• \( l = 4 \) (lawn-mowing jobs)
• \( w = 6 \) (pulling-weeds jobs)

Substituting the values into the formula:

\[ 25(4) + 20(6) \]

Calculating this gives:

\[ 100 + 120 = 220 \]

Thus, Jaden will earn $220 for 4 lawn-mowing jobs and 6 pulling-weeds jobs.

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2. Alicia's Earnings

Alicia's earnings can be calculated using the formula:

\[ 65h + 100 \]

where

• \( h = 3 \) (hours worked)

Substituting the value into the formula:

\[ 65(3) + 100 \]

Calculating this gives:

\[ 195 + 100 = 295 \]

Thus, Alicia will earn $295 for a job that takes 3 hours.

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3. Cliff-Diver's Height

The height of the diver above the ocean can be calculated using the formula:

\[ 75 - 16t^2 \]

where

• \( t = 2 \) (seconds)

Substituting the value into the formula:

\[ 75 - 16(2^2) \]

Calculating this gives:

\[ 75 - 16(4) = 75 - 64 = 11 \]

Thus, the diver is 11 feet above the ocean after 2 seconds.

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4. Gabrielle's Border Costs

Gabrielle's cost for the border can be calculated using the formula:

\[ 1.50(2l + 2w) \]

where

• \( l = 4 \) (length in yards)
• \( w = 3 \) (width in yards)

Substituting the values into the formula:

\[ 1.50(2(4) + 2(3)) \]

Calculating this gives:

First calculate the inside of the parentheses:

\[ 2(4) + 2(3) = 8 + 6 = 14 \]

Now substitute back into the formula:

\[ 1.50(14) = 21 \]

Thus, the cost for the border around her garden will be $21.00.

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Summary of Results

1. Jaden's Earnings: $220
2. Alicia's Earnings: $295
3. Diver's Height: 11 feet
4. Gabrielle's Border Cost: $21.00