Lauren wants to purchase custom-made bumper stickers to advertise her business. Two websites offer different deals:
Website A: Pay a fee of $80.00, plus $0.35 per bumper sticker
or Website B: Pay a fee of $49.25, plus $0.50 per bumper sticker
Website B is the cheaper option if ________(choose less or more) than ______ (enter number) bumper stickers are ordered.
80 + .35n = 49.25 + .5n
30.75 = .15n
n < 205
To determine when Website B is the cheaper option, we need to compare the total cost of ordering bumper stickers from Website A and Website B.
For Website A, the cost is calculated by adding the fee of $80.00 to the product of the number of bumper stickers (let's call it x) and the cost per bumper sticker ($0.35). So, the total cost from Website A is:
Total cost from Website A = $80.00 + ($0.35 * x)
For Website B, the cost is calculated by adding the fee of $49.25 to the product of the number of bumper stickers (x) and the cost per bumper sticker ($0.50). So, the total cost from Website B is:
Total cost from Website B = $49.25 + ($0.50 * x)
To determine when Website B is the cheaper option, we need to find the value of x at which the total cost from Website B is smaller than the total cost from Website A.
Let's set the total costs from both websites equal to each other and solve for x:
$49.25 + ($0.50 * x) = $80.00 + ($0.35 * x)
Simplifying, we get:
$0.50 * x - $0.35 * x = $80.00 - $49.25
$0.15 * x = $30.75
Dividing both sides by $0.15, we find:
x = $30.75 / $0.15
x ≈ 205
So, if Lauren wants to order more than 205 bumper stickers, Website B will be the cheaper option.