Respuesta :
We can travel approximately 840 miles with $95.
The correct answer is option (D) 840 miles
What is ratio?
"It is a quotient of two mathematical expressions."
What is proportion?
"It is a mathematical expression where two ratios are equal."
For given example,
the gas costs $3.05 a gallon.
This means, 1 gallon gas = $3.05
We need to find the distance, we can travel in a car with $95 in pocket.
Let 'm' gallon gas costs $95
The ratio of amount of gas to the price must be proportion.
So, [tex]\frac{1}{3.05} = \frac{m}{95}[/tex]
⇒ 95 = 3.05 m
⇒ m = 95/3.05
⇒ m = 31.14 gallon
Since, car travels at 27 miles for each gallon of gas.
Let car travels 'x' miles for 31.15 gallon of gas.
The ratio of amount of gas to the distance traveled by car must be proportion.
⇒ [tex]\frac{27}{1} = \frac{x}{31.14}[/tex]
⇒ 27 × 31.14 = x
⇒ x = 840.7
⇒x ≈ 840 miles
Therefore, we can travel approximately 840 miles with $95.
The correct answer is option (D) 840 miles
Read more about ratio and proportion here:
https://brainly.com/question/26974513
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