Diana's Earnings and Sales Challenges

The video tutorial presents a math challenge called Rags to Riches, where Diana receives two job offers from music companies, Holly's Harmonies and Barbara's Beats. Each offer includes a base salary and a commission per album sold. The tutorial guides viewers through writing equations to represent Diana's earnings for each company and solving for the minimum number of albums she must sell to earn at least $3,000 per month.

What is the name of the challenge Diana is participating in?

• Music Mania

• Battle of the Bands

• Producer's Puzzle

• Rags to Riches

What is the base salary offered by Holly's Harmonies?

• $3,000 per month

• $1,500 per month

• $2,000 per month

• $2,500 per month

How much commission does Diana earn per album sold at Holly's Harmonies?

• $6

• $5

• $4

• $3

What is the equation representing Diana's earnings at Holly's Harmonies?

• M = 2,000 + 3A

• M = 2,000 + 5A

• M = 2,500 + 5A

• M = 2,500 + 3A

What is the base salary offered by Barbara's Beats?

• $2,000 per month

• $3,000 per month

• $1,500 per month

• $2,500 per month

How much commission does Diana earn per album sold at Barbara's Beats?

• $6

• $4

• $3

• $5

What is the equation representing Diana's earnings at Barbara's Beats?

• M = 2,000 + 3A

• M = 2,500 + 5A

• M = 2,500 + 3A

• M = 2,000 + 5A

How many albums must Diana sell at Holly's Harmonies to earn at least $3,000?

• 150

• 300

• 200

• 250

How many albums must Diana sell at Barbara's Beats to earn at least $3,000?

• 168

• 167

• 166

• 165

Why can't Diana sell 166.67 albums at Barbara's Beats?

• The company doesn't allow fractional sales

• Albums must be sold in whole numbers

• The commission structure changes at 167 albums

• She needs to sell exactly 200 albums