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xeze [42]
3 years ago
13

A customer requires a car service for 80 miles,

Mathematics
1 answer:
Xelga [282]3 years ago
8 0

Answer:

$25

Step-by-step explanation:

Derive an equation to represent the cost of using each ride.

Sal's Car Rides:

Using 2 pairs of values from the table, (0, 40) and (20, 80), find the slope, m (fee per mile).

m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{80 - 40}{20 - 0} = \frac{40}{20} = 2

The y-intercept, b, is the one-time fee for fuel. This is the value of the cost ($) when number of miles traveled is 0.

Thus, b = 40.

Substitute m = 2, and b = 40 into y = mx + b.

Equation for the total cost for Sal's Car Rides would be:

y = 2x + 40.

Find the total cost to be charged if a customer requires the a car service for 80 miles if he chooses Sal's Car Rides.

Simply substitute x = 80 in y = 2x + 40.

y = 2(80) + 40 = 200

The customer would pay $200.

Ray's Limo:

The equation that represents the total cost (y) to be charged for number of miles (x), given that $2.50 is charged per mile plus a one-time fee of $25 for fuel, would be:

y = 2.5x + 25.

If a customer uses Ray's Limo services for 80 miles, the cost charged would be:

Substitute x = 80 in y = 2.5x + 25.

Thus:

y = 2.5(80) + 25 = 225.

The fee the customer would pay = $225 for using Ray's Limo services.

Therefore, if the customer takes Sal's Car Rides instead of Ray's Limo, he would save, $225 - $200 = $25.

The customer would save $25.

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Answer:

<u><em></em></u>

  • <u><em>a. Meg needs to find the part</em></u>

<u><em></em></u>

  • <u><em>b. Steve needs to find the percent.</em></u>

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Step-by-step explanation:

The question is incomplete.

This is the complete question:

<em>Meg is a veterinarian. In a given week, 50% of the 16 dogs she saw were Boxers. Steve is also a veterinarian. In the same week, 7 of the 35 dogs he saw this week were Boxers. Each wants to record the part the whole, and the percent.</em>

<em />

<em>a. Does Meg need to find the part, the whole, or the percent.</em>

<em />

<em>b. Does Steve need to find the part, the whole, or the percent.</em>

<em />

<h2>Solution to the problem</h2>

<u><em>a. Does Meg need to find the part, the whole, or the percent.</em></u>

<em />

<em>Meg</em> already knows the <em>whole</em> and the <em>percent</em>.

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<u>b. Does Steve need to find the part, the whole, or the percent.</u>

<u></u>

He already knows <em>the part</em> (<em>7 of the 35 dogs were boxers</em>) and <em>the whole </em>(<em>35 dogs</em>).

Then he needs to find the percent, which he can do using the next operation:

  • Percent = (part / whole) × 100 = (7/35)×100 = 20%
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