CED Standards

Jamie is measuring the growth of a bean plant in her garden. On the first day, the plant is 2.5 inches tall. On the fourth day, it is 7 inches tall, and on the ninth day, it is 14.5 inches tall. What will be the height of Jamie’s plant on the twenty-first day if it continues to grow at the same rate?

• 29.5 inches

• 31 inches

• 32.5 inches

• 34 inches

Tags

CCSS.HSF.BF.A.2

Tanya has a business selling custom cupcakes. She mas modeled her business on the graph. Write an equation modeled by the graph below comparing her profit, P, to the number of cupcakes she sells, c.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Betty runs a business selling hats she makes. She makes a profit of $8 per hat sold, but has to pay $150 each month to rent a space to sell them. Last month she made $1610 profit after paying her rent. Write an equation to model her situation last month when selling h hats.

Tags

CCSS.HSA.CED.A.3

Tina puts $3,000 in a savings account. The account earns 3% simple interest (not compounded) each year.  Which equation can Tina use to find how many years, y, it will be before there is $4,000 in the account?

•  $4,000=3,000\left(y^{1.03}\right)$  

•  $4,000=3,000\left(y^{.03}\right)$  

•  $4,000=3,000\left(.03^y\right)$  

•  $4,000=3,000\left(1.03^y\right)$  

Olivia is measuring the growth of her cilantro plant in her new garden. On day 3, the plant is 3.5 inches tall, on day 6, the plant is 5.75 inches tall, and on day 11, the plant is 9.5 inches tall. How many days will it take for the plant to be 17 inches tall?

Write an equation to model the situation.

Tags

CCSS.7.EE.B.4A

A city law states that the area, x, of a new building on a lot must be  $\frac{3}{5}$ less than of the total area, y, of the lot on which it is built. Which inequality shows this relationship?

•  $x<\frac{3}{5}y$  

•  $x>\frac{3}{5}y$  

•  $y<\frac{3}{5}x$  

•  $y>\frac{3}{5}x$  

Richard owns a restaurant. He needs to buy at least 300 glasses. Tall glasses cost $2.50. Short glasses cost $2.10. He can spend at most $670. Which system of inequalities can Richard use to find the possible numbers of tall glasses, t, and short glasses, s, he can buy?

• 
• 
• 
• 

Jaden invests in silver and gold. He plans to sell his gold if both of these conditions are met. Let G be the price per ounce of gold and S be the price per ounce of silver.

Which situation meets both of Jaden’s conditions for selling his gold?

• Gold costs $600 per ounce and silver costs $75 per ounce.

• Gold costs $400 per ounce and silver costs $35 per ounce.

• Gold costs $600 per ounce and silver costs $55 per ounce.

• Gold costs $400 per ounce and silver costs $65 per ounce.

Victor runs a restaurant and has to buy new plates. Large plates (L) are $4.50 and small plates (S) are $3.75. Victor needs to buy at least 500 plates and has at most $2000 to spend. Which set of inequalities below could he use to find how many of each plate he can buy?

• A.4.5L + 3.75S ≥ 2000

  L + S ≤ 500

• A.4.5L + 3.75S ≤ 2000

  L + S ≤ 500

• A.4.5L + 3.75S ≤ 2000

  L + S ≥ 500

• A.4.5L + 3.75S ≥ 2000

  L + S ≥ 500

Movie Country, a DVD rental store, charges $2.50 for movies for one night. They charge half price on children’s movies. Write an equation that describes the price P for renting R DVDs at the regular price and C children’s DVDs for one night.

Tags

CCSS.6.EE.C.9