C6 L5- Recap

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?

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

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?

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?

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?

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?

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?

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?

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?