yolanda is shopping for a used car in a city where the tax is 8% and the title and license fee is $250…

yolanda is shopping for a used car in a city where the tax is 8% and the title and license fee is $250. there is no tax on the title and license fee itself. if the maximum that she can spend is $7250, then she should look at cars in what price range? yolanda should look at cars in the price range (type your answer in interval notation.)

yolanda is shopping for a used car in a city where the tax is 8% and the title and license fee is $250. there is no tax on the title and license fee itself. if the maximum that she can spend is $7250, then she should look at cars in what price range? yolanda should look at cars in the price range (type your answer in interval notation.)

Answer

Explanation:

Step1: Let the price of the car be $x$.

The tax on the car is $0.08x$ and the title - and - license fee is $250$. The total amount she can spend is $7200$. So, the equation is $x + 0.08x+250 = 7200$.

Step2: Combine like terms.

We have $1.08x+250 = 7200$.

Step3: Isolate the variable term.

Subtract 250 from both sides: $1.08x=7200 - 250=6950$.

Step4: Solve for $x$.

Divide both sides by 1.08: $x=\frac{6950}{1.08}\approx6435.19$. Since the price of the car cannot be negative, the price range of the cars she should look at is $[0,6435.19]$.

Answer:

$[0,6435.19]$