EOC Review Day 6 Applications

EOC Review Applications

Applications of Linear Equations

Riley goes to the fair. The admission prices is $10 and he pays $2 for each ride. Write a linear equation to represent the situation.

How much total will Riley pay if he rides 6 rides?

Applications of Linear Equations

The table shows the delivery cost based on miles traveled.

What is the slope of the table?

What does the slope represent?

Applications of Linear Equations

Applications of Linear Equations

Applications of Linear Equations

​Fishermen in the Finger Lakes Region have been recording the dead fish they encounter while fishing in the region. The Department of Environmental Conservation monitors the pollution index for the Finger Lakes Region. The model for the number of fish deaths "y" for a given pollution index "x" is y = 9.607x + 111.958. What is the meaning of the slope? What is the meaning of the y-intercept?

Multiple Choice

Belinda's car needed repairs. The mechanic charged him $140 for the parts and an additional $48 an hour for labor. Write an equation that models this situation.

• y = 140x +48

• y = -48x +140

• y = 48x +140

• y = 48x

Multiple Choice

What does the slope mean in the context of the problem?

• The cost will increase by $1.40 per topping

• The cost will decrease by $1.40 per topping

• The cost will increase by $1.90 per topping

• The cost will decrease by $1.90 per topping 

Multiple Choice

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. The equation C=2h+15 represents the situation where C is the total cost, to rent the boat for h hours. How much would a 5 hour boat rental cost

• $10

• $90

• $15

• $25

Multiple Choice

Peyton Manning is comparing two weekend resort specials to relax at now that he has retired. Package A offers a 2-night stay and 3 meals that costs $195. Package B offers a 3-night stay and 5 meals that costs $300. Let "x" represent the cost per night and "y" represent the cost per meal.

• 2x + 3y = 195 3x + 5y = 300

• 2x + 3y = 300 3x + 5y = 195

• 2y + 3x = 195 3y + 5x = 300

• 2y + 3x = 300 3y + 5x = 195

Multiple Choice

Priscilla sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. She sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

• a + c = 21

  6a + 4c = 104

• a + c = 104

  6a + 4c = 21

• a + c = 21

  6c + 4a = 104

• a + c = 104

  6c + 4a = 21

Applications of Exponential Functions

The temperature of a large tub of water that is currently at 100° F decreases by about 10% each hour. Write an equation to represent the situation:

What will the temperature of the water be after 3 hours?

Multiple Choice

The amount accumulated in a bank account over a time period t, in months, and based on an initial deposit of $200 is found using the formula A(t) = 200(1.025)t , t ≥ 0. Time, t, is represented on the horizontal axis. The accumulated amount, A(t), is represented on the vertical axis. What does the y-intercept of the function represent?

• A starting bank account balance of $0

• The total time to reach $200 in the bank account.

• The $200 initially deposited

Multiple Choice

The amount accumulated in a bank account over a time period t, in months, and based on an initial deposit of $200 is found using the formula A(t) = 200(1.025)t , t ≥ 0. Time, t, is represented on the horizontal axis. The accumulated amount, A(t), is represented on the vertical axis. What is the domain of the function?

• All real numbers

• $$t\ge0$$

• $$t\ge200$$

Applications of Quadratic Functions

The expression –x² + 70x – 600 represents a company’s profit for selling x items. For which number(s) of items sold is the company’s profit equal to $0?

Applications of Quadratic Functions

​

Mellissa's height while jumping on a trampoline can be given by the equation: h=-16t²+18t+5 (where t=time in seconds and h=height in feet). What is the maximum height that Mellissa will reach?

Multiple Choice

If I want to see the initial height of an object, I should _____________.

• Identify the y-intercept of the equation

• Find the x-coordinate of the vertex

• Find the y-coordinate of the vertex.

• Set my equation = 0 and solve.

Multiple Choice

If I want to find out when an object hits the ground, I should _________.

• Use x = (-b/2a) as my answer.

• Identify the positive x-intercept

• Replace x with 0 and evaluate.

• Find the y-coordinate of the vertex.

Multiple Choice

When I want to find the maximum or minimum height of an object, I should_____.

• Set the equation = 0 and solve.

• Use x = (-b/2a) as my answer.

• Substitute x = 0 into the equation.

• Find the y-coordinate for the vertex.

Multiple Choice

A fountain shoots water in an arc over a lake that can be modeled by the graph of the equation y= -0.4x² + 8x where x is the horizontal distance (in feet) from the fountain base and y is the height (in feet) above the river. How high does the water go?

• It goes 11.78 feet high

• It goes 20 feet high

• It goes 40 feet high

• It goes 10 feet high