Math / Algebra

QuestionIn some South Asian weddings, the groom travels to the wedding on a white horse in a procession called a baraat.
A farm charges $\$ 1,000$ to rent a horse for a baraat, which includes transporting the horse up to 15 miles to the wedding. A $\$ 2.50$ fee applies for each mile beyond the first 15. An employee represents the situation with the function $C(m)=1,000+2.50 \mathrm{~m}$ and determines that the total cost to rent a horse for a wedding 25 miles away is $\$ 1,062.50$ .
Is the employee correct? Use the drop-down menus to explain.
Click the arrows to choose an answer from each monu. The function roprosonts the situation if $\boldsymbol{m}$ is tho Chooso... The employeo should substitute chooso... $\square$ for $m$ and determine that the cost to rent and transport tho horso is chooso... - Tho omployoo
Chooso... correct.

Studdy Solution

STEP 1

1. The base cost to rent a horse is $1,000.<br />2. The cost includes transportation up to 15 miles.<br />3. An additional fee of$ 2.50 per mile applies beyond the first 15 miles.
4. The function $C(m) = 1,000 + 2.50m$ is used to calculate the total cost.
5. The distance to the wedding is 25 miles.

STEP 2

1. Understand the function and its components.
2. Determine the correct value of $m$ to use in the function.
3. Calculate the total cost using the function.
4. Verify the employee's calculation.

STEP 3

The function $C(m) = 1,000 + 2.50m$ represents the total cost, where $m$ is the number of miles beyond the first 15 miles.

STEP 4

Since the base cost covers the first 15 miles, $m$ should represent the miles beyond those 15 miles. For a 25-mile trip, the extra miles are $25 - 15 = 10$ .

STEP 5

Substitute $m = 10$ into the function: $C(10) = 1,000 + 2.50 \times 10$
Calculate: $C(10) = 1,000 + 25 = 1,025$

STEP 6

The employee calculated the cost as $1,062.50. However, the correct calculation shows the cost should be$ 1,025.
The function represents the situation if $m$ is the number of miles beyond the first 15. The employee should substitute 10 for $m$ and determine that the cost to rent and transport the horse is $1,025. The employee is not correct.

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Studdy Solution

STEP 1

1. The base cost to rent a horse is $1,000.<br />2. The cost includes transportation up to 15 miles.<br />3. An additional fee of$ 2.50 per mile applies beyond the first 15 miles.
4. The function $C(m) = 1,000 + 2.50m$ is used to calculate the total cost.
5. The distance to the wedding is 25 miles.

STEP 2

1. Understand the function and its components.
2. Determine the correct value of $m$ to use in the function.
3. Calculate the total cost using the function.
4. Verify the employee's calculation.

STEP 3

The function $C(m) = 1,000 + 2.50m$ represents the total cost, where $m$ is the number of miles beyond the first 15 miles.

STEP 4

Since the base cost covers the first 15 miles, $m$ should represent the miles beyond those 15 miles. For a 25-mile trip, the extra miles are $25 - 15 = 10$ .

STEP 5

Substitute $m = 10$ into the function: $C(10) = 1,000 + 2.50 \times 10$
Calculate: $C(10) = 1,000 + 25 = 1,025$

STEP 6

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Studdy Solution

STEP 1

STEP 2

1. Understand the function and its components.2. Determine the correct value of m m m to use in the function.3. Calculate the total cost using the function.4. Verify the employee's calculation.

STEP 3

The function C(m)=1,000+2.50m C(m) = 1,000 + 2.50m C(m)=1,000+2.50m represents the total cost, where m m m is the number of miles beyond the first 15 miles.

STEP 4

Since the base cost covers the first 15 miles, m m m should represent the miles beyond those 15 miles. For a 25-mile trip, the extra miles are 25−15=10 25 - 15 = 10 25−15=10.

STEP 5

Substitute m=10 m = 10 m=10 into the function: C(10)=1,000+2.50×10 C(10) = 1,000 + 2.50 \times 10 C(10)=1,000+2.50×10Calculate: C(10)=1,000+25=1,025 C(10) = 1,000 + 25 = 1,025 C(10)=1,000+25=1,025

STEP 6

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. Understand the function and its components.
2. Determine the correct value of $m$ to use in the function.
3. Calculate the total cost using the function.
4. Verify the employee's calculation.

The function $C(m) = 1,000 + 2.50m$ represents the total cost, where $m$ is the number of miles beyond the first 15 miles.

Since the base cost covers the first 15 miles, $m$ should represent the miles beyond those 15 miles. For a 25-mile trip, the extra miles are $25 - 15 = 10$ .

Substitute $m = 10$ into the function: $C(10) = 1,000 + 2.50 \times 10$
Calculate: $C(10) = 1,000 + 25 = 1,025$