C6 L5- Recap

🚧Review🚧

Multiple Choice

The function y = -0.8x + 67.3 represents the estimated temperature of a cave in degrees Fahrenheit after x days. Which statements are correct about the linear model?

What is the initial value?

• 0.8

• -0.8

• 67.3

• x

Multiple Choice

What is the initial value of the following equation: y= 3 + 4x

• 3

• 4

• x

📝WE DO 📝

​Review parts of y=mx+b

Poll

Michael has a lunch account at the cafeteria. Michael can estimate the amount of money left in his lunch account using the equation y = 48 – 5x, where x represents the number of days he eats lunch. What is the meaning of the slope in the equation?

• Michael has $48 in his lunch account.

• Michael spends $5 per day eating lunch at the cafeteria.

• Michael has $43 in his lunch account after eating one day.

• Michael spends $10 of his lunch account after eating two days.

Poll

The equation C = 5.5b + 88 represents the relationship between carbohydrates (b) and calories (C) of some foods. What is the meaning of the slope?

• The number of calories increases by 5.5 each time a carbohydrate is added.

• The number of calories increases by 88 each time a carbohydrate is added.

• The total number of calories is 93.5.

• Most foods start with 88 calories.

Poll

Jasmine determined she can use the equation y = 1/2 x+50 to predict how many ice-cream cones she will sell at a particular event, based on the temperature, x, in degrees Fahrenheit. What is the meaning of the y-intercept in the equation?

• Jasmine will sell 50 ice-cream cones when the temperature is 0°F.

• For every 2° increase, Jasmine will sell 1 additional ice-cream cone.

• For every 1° increase, Jasmine will sell 2 additional ice-cream cones.

• When the temperature is 50°F, Jasmine will sell 1/2 fewer ice-cream cones than usual.

🧠 YOU DO 🥸

Multiple Choice

A plane travels from Los Angeles to New York City. The distance in miles, d, of the plane from New York City h hours after the plane takes off can be modeled using the equation $$d=2475\ -445h$$ What is the meaning of the slope in this scenario?

• The distance, in miles, the plane travels in one hour.

• The distance, in miles, from Los Angeles to New York City.

• The amount of time, in hours, it takes the plane to travel one mile.

• The amount of time, in hours, it takes the plane to travel from Los Angeles to New York City.

Multiple Choice

A man used a faucet to add water to a pond. The man used the equation v=3,208m+6,000 to determine the volume, v, of the pond in milliliters after he had added water for m minutes. What is the meaning of the y-intercept of this equation?

• The volume of the pond increases by 3,028 milliliters each minute.

• The volume of the pond increases by 6,000 milliliters each minute.

• The volume of the pond was 3,028 milliliters before the water was added.

• The volume of the pond was 6,000 milliliters before the water was added.

Multiple Choice

A scientist recorded the weight of an insect from hatching to maturity. The equation w=0.7a+1.2 gives the insect’s weight, w, in grams at age a, in weeks. What is the meaning of the slope of this equation?

• The weight of the insect increases 1.2 grams each week.

• The weight of the insect increases 0.7 grams each week.

• The weight of the insect is 1.2 grams when it hatches.

• The weight of the insect is 0.7 grams when it hatches.

Multiple Choice

A car rental business charges a daily fee along with a one-time fixed charge to refuel the car when it is returned. The equation the business uses to calculate the total rental cost, c, is $$c=15d+24$$ where d represents the number of rental days. What is the daily increase in the total cost of the rental?

• $9

• $15

• $24

• $39

Drag and Drop

A car rental company charges $18 plus $0.50 for each mile driven. The total charges, y, for renting a car and driving it x miles can be determined using the equation y = 18 + 0.50x. Use the equation to answer each question.

1. What does the y-intercept represent? ​

Placeholder

2. What does the slope represent? ​

Placeholder

​ ​

Drag these tiles and drop them in the correct blank above

The charge for o miles is $18

additional mile driven raises the charge by $0.50

additional mile driven raises the charge by 18.50

The Charge for 68 miles is 100

the charge for 100 miles is $68