Winter Break Activity

Aaron received a $25 gift card for his birthday. He used it to download a game for $3.99 and some songs for $0.99 each.

The following inequality models the relationship among the quantities in this scenario where x represents the number of songs Aaron can afford to download:

 In order to lure new customers to a credit card, a bank is offering an initial cash back award, plus cash back amounting to a percentage of the value of all purchases made with the card.  If p is the value of all purchases made with the card and c is the amount of cash back, which of these equations does the graph represent?

• c = 0.03p + 150

• c = 0.3p + 150

• c = 1.03p + 150

• c = 1.3p + 150

An agricultural researcher selected 8 chicken farms from across the state. The researcher recorded the number of hens and the number of eggs laid by those hens over a 24-hour period. The researcher then calculated a line of best fit for the data. The equation of the line of best fit was

y = 0.97x + 3.06.

where, x, represents the number of hens and, y,  represents the number of eggs. Which statement is true?

• 0.97 represents the average number of eggs laid by a hen per day.

• . 3.06 represents the average number of eggs laid by a hen per day.

• 0.97 represents the average number of hens that laid eggs per day.

• 3.06 represents the average number of hens that laid eggs per day.

Each table below shows the time and distance Samantha and her friends traveled on four different road trips. In which table is there a linear relationship between time and distance?

• A

• B

• C

• D

Three companies are offering different moving services in a neighborhood of the town. The three functions g_(x), h_(x) and p_(x) represent the amount of houses they can move in total, in x hours respectively.

g_(x)= 0.5x

h_(x) = 1.7x

p_(x) = 3.5x

Create the function C_(x) that represent the total of houses can be moved in the neighborhood after x hours

• C_(x) = 10.2x

• C_(x) = 5.2x

• C_(x) = 5.7x

• C_(x) = 2.3x

The Boyle – Mariotte law, states that the product of pressure and volume is a constant for a given mass of confined gas and this holds as long as the temperature is constant. For comparing the same substance under two different sets of conditions, the law can be usefully expressed as:

P₁V₁=P₂V_{2. Solve for} V₁

• 
• 
• 
• 

Juan solved an equation and his work is shown bellow

Steps:

Equation given: 10x=-2(-4x-5)

Step1: 10x=8x+10

Step2: ________

Step3: x=5

In step 2 Juan uses the subtraction property of equality. Create the equation that could show the missing step.

• X=10

• 18x=10

• 2x=10

Mr. Fernandez uses the function f_(x) to determine the total number of questions on IXL the students can complete after x hours. If the students can complete 4000 questions in 200 hours, which of the following equations is correct?

• f₍₂₀₀₎=300

• f₍₃₀₀₎=200

• f₍₂₀₀₎=4000

• f₍₄₀₀₀₎=200

• 
• 
• 
• 

• 
• 
• 
• 
•