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Molodets [167]
2 years ago
9

a vehicle uses 1 1/8 gallons of gas to travel 13 1/2 miles. at this rate how many miles can the vehicle travel per gallon of gas

Mathematics
1 answer:
elena55 [62]2 years ago
8 0

Answer:

The vehicle can travel 12 miles per gallon of gas.

Step-by-step explanation:

  • The number of gallons used by a vehicle = 1 1/8 gallons

i.e.

1\frac{1}{8}=\frac{9}{8} gallons

  • The number of miles traveled by a vehicle = 13 1/2 miles

i.e.

13\frac{1}{2}=\frac{27}{2} miles

Thus,

Total Gallons =9/8 gallons

Total Distance in miles = 27/2 miles

Hence:

Unit Rate = [27/2 miles] / [9/8 gallons]

                = 12 miles per gallons  ∵ \frac{27}{2}\div \frac{9}{8}=12

   

Therefore, the vehicle can travel 12 miles per gallon of gas.

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The demand for coffee is given by the following equation, where QD stands for the quantity demanded and P stands for price.
mart [117]

Using linear function concepts, it is found that the slopes and intercepts of the functions are given as follows:

a) -4.

b) P = 25.

c) 2.

d) P = 5.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The demand is given by:

D = 100 - 4P.

Hence the slope is of -4. The demand is equals to zero when:

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The supply is given by:

QS = -10 + 2P.

Hence the slope is of 2. The supply is equals to zero when:

-10 + 2P = 0 -> P = 5.

More can be learned about linear function concepts at brainly.com/question/24808124

#SPJ1

4 0
1 year ago
What is the range of the following function: f(x)=-x^2+x^-1 if the domain is {-2, -1, 1}
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The range is { -9/2, -2, 0}


8 0
2 years ago
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