A school cafeteria has a salad bar that is priced based on weight, with salads costing 30 cents an ounce. Students fill a container that weighs 8 ounces when it is empty. Define x to be the weight of the filled container (in ounces) and y to be the price the student is charged (in dollars). The relationship is y =- 22.40 + 0.30x.
a. Is the relationship between x and y a deterministic relationship or a statistical relationship? Explain.
b. Explain what it would mean if x = 8.
c. Does the y-intercept have a useful interpretation in this example? Explain.
d. Explain the meaning of the slope of 0.30 in this situation.
e. If the container plus ingredients weighs 20 ounces, how much does the salad cost the student?