Mrs. James needs to have her Jeep repaired but does not want to spend more than $375 for the repairs. The mechanic says that the
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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
We have been given that Mr. Luis wants to sell his house. The state he lives in charges a 3.5% sales tax on the sale of a house. The county charges a 3.9% sales tax, and the city charges a 2.2% sales tax.
We are asked to find the total tax, if Mr Luis sells his home for $122,500.
To find total tax, we will add all tax rates as they are being applied to same base.
Now we will find 9.6% of $122,500 to find total tax bill.
Therefore, the total tax bill of Mr. Luis would be .