Open Up Unit 3 Linear Relationships

What equations is modeled below?

• 7  = 2-x-4

• 7  = 2+x+4

• 7= 2x - 4

• 7= 2x+ 4

What is the equation for this table?

Hint: Y-intercept is next to 0.

Rate is the change PER 1.

• y = 4x + 13

• y = 2x + 3

• y = 13x + 4

• y = 3x + 2

Which word problem matches this scenario?

• You spent $64.50 at the Rough Riders baseball game.

  You paid $15 per hot dog plus $8.25 for a souvenir cup.

• You spent $64.50 at the Rough Riders baseball game.

  You paid $15 per hot dog with a coupon for $8.25 off.

• You spent $64.50 at the Rough Riders baseball game.

  You paid $8.25 per hot dog plus $15 for a souvenir cup.

• You spent $64.50 at the Rough Riders baseball game for 15 tickets.

  You paid $8.25 for a souvenir cup.

Trey wants to save up money to buy a new bike this summer. He decides to open a lemonade stand to earn money. He is trying to save up at least $150. He already has $50 saved, and he earns $15 each hour that he runs his lemonade stand. Which inequality could be used to find h, the number of hours he has to work to save enough money for his bike?

The cost of the school uniform for a private school has consistently increased since the year 2020. The table below shows the cost (y) of the uniform x years after 2020. Which function models the relationship between the number of years (x) and the cost (y) of the uniform?

Based on the information in the table, which equation can be used to model the relationship between x and y?

• y = 5x

• y = x + 5

• y = x +470

• y = 94x

What function models the relationship between the number of packs of diapers, x, and the total cost, f(x)?

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Morgan has $263.49 in her bank account.  She babysits two days each week.  Each time she babysits she earns $36.  She deposits all the money she earns into her bank account at the end of the week.  Which linear equation below best models the relationship between the total amount of money in Morgan's bank account(T) and the number of weeks(w) that have passed?

• T = 72w + 263.49

• T = 36w + 263.49

• T = 263.49w + 36

• w = 72T + 263.49

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Which equation models the amount she charges over time?

Solve for x.

• x = 2

• x = 3