haris has 20.92 to spend on videos-games rentals at a local video store. the store charges 3.95 per video-game rental plus 8.125% tax. what is the maximum number of video games that harris can rent?
Calculate the total cost of each game including tax--remember that 8.125% = 0.08125
total cost = game + tax
= $3.95 + 0.08125($3.95)
Now divide the money he has ($20.92) by the total cost per game. Disregard any remainder/fraction/decimal of a game since you cannot normally purchase a piece of a game.
To find the maximum number of video games that Harris can rent, we need to determine how much of his budget will be used for each rental, including tax.
First, let's calculate the tax on each video game rental. The tax rate is 8.125%, which can be converted to a decimal by dividing by 100. So the tax rate is 0.08125.
Next, we calculate the total cost of each video game rental by adding the rental fee and the tax. The rental fee is $3.95.
Total cost per rental = rental fee + (rental fee x tax rate)
Total cost per rental = $3.95 + ($3.95 x 0.08125)
Total cost per rental = $3.95 + $0.321875
Total cost per rental ≈ $4.271875
Now, we divide Harris' total budget by the total cost per rental to find the maximum number of video games he can rent:
Maximum number of video games = Total budget ÷ Total cost per rental
Maximum number of video games = $20.92 ÷ $4.271875
Calculating this, we get:
Maximum number of video games ≈ 4.89
Since we can't rent a fraction of a video game, Harris can rent a maximum of 4 video games with his budget of $20.92.