The membership to your local video store is flat rate of $10/year and the DVD rental rate is $3.95/DVD. Write an equation that models the total amount of money you will spend on DVD rentals this year. How many DVD's can you rent if you spend $500/yr.?
for x DVDs in a year, the charges are
y = 10.00 + 3.95x
Now just solve for x when y = 500
Thankyou Mr.Steve!
To write an equation that models the total amount of money you will spend on DVD rentals this year, we need to consider two factors: the membership fee and the rental cost per DVD.
Let's denote the number of DVDs rented as 'x'. The equation can be written as:
Total amount spent on DVD rentals = Membership fee + (Number of DVDs rented * Rental cost per DVD)
In this case, the membership fee is a flat rate of $10/year, and the rental cost per DVD is $3.95. So the equation becomes:
Total amount spent on DVD rentals = $10 + ($3.95 * x)
To determine the number of DVDs you can rent if you spend $500/year, we can set up the equation as follows:
$500 = $10 + ($3.95 * x)
Now, let's solve this equation to find the value of 'x'.
Subtract $10 from both sides of the equation:
$500 - $10 = $3.95 * x
$490 = $3.95 * x
Divide both sides of the equation by $3.95:
$490 / $3.95 = x
x ≈ 123.9
Since you cannot rent a fraction of a DVD, you can rent a maximum of 123 DVDs for a total spending of $500/year.