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1 answer:
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Considering that the car does 50 miles per gallon, the linear function for the number of gallons of fuel in Jim's fuel tank, n, in terms of the number of miles x that Jim has driven since filling his tank is given by:
A linear function is modeled by:
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.
In this problem:
- Jim's car holds 14 gallons of fuel, hence
.
- Considering it does 50 miles per gallon, and the amount in the tank will decrease, the slope is
.
Hence, the function is:
You can learn more about linear functions at brainly.com/question/25898120
Answer:
An equation that represents the given situation is and the additional number of students that can be seated is 47
Step-by-step explanation:
Number of students already seated in school cafeteria = 203
Let x be the additional number of students that can be seated
So, Total number of seats available in school cafeteria = 203+x
We are given that the school cafeteria seats 250 students
So, 203+x=250
Hence an equation that represents the given situation is and the additional number of students that can be seated is 47