Question

An internet company chooses to advertise with banners on websites visited by a target customer group. The web advertiser offers two plans with the same final cost.

The first plan offers 3,000 banner ads for x dollars each plus a setup fee of $50.

The second plan offers 2,000 banner ads for x dollars each plus a setup fee of $100.

What is the cost per banner for each of these plans?

hint: Write the equation out and then solve

Responses

$0.05
$0.05

$0.50
$0.50

$5.00
$5.00

$50.00

Answer 1

Answer: $0.05.

Explanation:

For the first plan:

Cost = (Number of banner ads) * (Cost per banner) + Setup fee

Cost = (3,000) * (x) + $50

For the second plan:

Cost = (Number of banner ads) * (Cost per banner) + Setup fee

Cost = (2,000) * (x) + $100

Since both plans have the same final cost, we can set these two cost equations equal to each other:

(3,000x + $50) = (2,000x + $100)

Now, we'll solve for x, which represents the cost per banner:

3,000x + $50 = 2,000x + $100

Subtract 2,000x from both sides of the equation:

1,000x + $50 = $100

Subtract $50 from both sides of the equation:

1,000x = $100 - $50

1,000x = $50

Now, divide both sides by 1,000 to find the cost per banner (x):

x = ($50) / 1,000

x = $0.05

So, the cost per banner for both plans is $0.05.