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Harrizon [31]
3 years ago
13

The cost of a cab ride is $10 for the first mile or part of a mile. It costs $3 for each additional mile or part of a mile and a

ll cab rides are less than six miles. The cost is modeled by the function C(m), where "m" is the number of miles. The driver's pay "P" is a function of the cost "C" and is modeled by P(C) = 0.60C. What is the domain of P(C)? A) {1, 2, 3, 4, 5} B) {10, 13, 16, 19, 22, 25} C) {any positive real number less than 6} D) {any positive real number less than 25}
Mathematics
2 answers:
Nostrana [21]3 years ago
7 0

Answer:

  B)  {10, 13, 16, 19, 22, 25}

Step-by-step explanation:

The cost of the cab ride will be one of 6 possible values. Those values constitute the domain of the function P(C).

ioda3 years ago
7 0

Answer:

B)  {10, 13, 16, 19, 22, 25}

Step-by-step explanation:

Cost of cab ride for the first mile or part of a mile = $10

Cost for each additional mile or part of a mile = $3

Therefore,

Cost of cab ride for the two miles = $10 + $3 = $13

Cost of cab ride for the three miles = $10 + $3 +$3= $16

Cost of cab ride for the four miles = $10 + $3 +$3 + $3= $19

Cost of cab ride for the five miles = $10 + $3 +$3 + $3 +$3 = $22

Cost of cab ride for the six miles = $10 + $3 +$3 + $3 +$3 + $3 = $25

So, domain of P(C) is equal to  {10, 13, 16, 19, 22, 25}

Therefore, option B) is correct .

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a. b. c. and d.  are true; e. is false

Step-by-step explanation:

1 gallon of red paint : 3 gallons of yellow paint

                                  &

1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange paint

<em>a. 3/4 of a 4-gallon mix would be yellow paint.</em>

<em>True. 3 out of 4 gallon mix is yellow and 1 out 4 is red</em>

<em />

<em>b. Every 1 gallon of yellow paint requires 1/3 gallon of red paint.</em>

1 gallon of red paint : 3 gallons of yellow paint

divide by 3 in both sides of :

1/3 gallon of red paint : 3/3 gallons of yellow paint

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<em />

<em>c. Every 1 gallon of red paint requires 3 gallons of yellow paint.</em>

<em>True. </em>1 gallon of red paint : 3 gallons of yellow paint

<em />

<em>d. There is 1 gallon of red paint in a 4-gallon mix of orange paint.</em>

<em>True. 1 out of 4 is red and 3 out of 4 is yellow.</em>

<em />

<em>e. There are 2 gallons of yellow paint in an 8-gallon mix of orange paint.</em>

<em />

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Multiply by 2 each side of the equation

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apply to each member of the parenthesis ()

2 of red paint + 6 of yellow paint = 8 of orange paint

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