Question

1) Advertisement XYZ Company charges $35 for the first four lines and $5.25 per extra

line to run the ad for one week. Jacqueline plans to sell her house and places a 15-line
ad.
a. What will Jacqueline's ad cost to run for one week?
b. What will Jacqueline's ad cost to run for four weeks?

Answer 1

a) $92.75

b) $371

Explanation:

Let x = number of lines in the ad

Let x = total charge per week to run the ad

Given:

• Charge per week for first 4 lines = $35
• Charge per week for each additional line = $5.25

Create equations based on the given information:

y = 35 for x < 4

y = 35 + 5.25(x - 4) for x ≥ 4

Part (a)

Given:

• Jacqueline's ad = 15 lines

⇒ y = 35 + 5.25(15 - 4)

= 35 + 5.25(11)

= 35 + 57.75

= 92.75

So the ad will cost $92.75 to run for 1 week.

Part (b)

Cost to run the ad for 4 weeks = 4 × cost of 1 week

= 4 × 92.75

= $371