Question

Marta found a website that sells her favorite style of coffee mugs. She writes the function C(m)=4.50m+7 where C(1) represents the total cost of ordering r mugs, to decide how many mugs to order. Determine whether each statement about the features of the function is true or false in terms of the context.

a. The range is y|y≥ 11.5 (True or False)
b. The domain is all real numbers. (True or False)
c. The y-intercept is 4. 5 (True or False)

Answer 1

The range is y|y>0; The domain is all real numbers; The y-intercept is 7.

Step-by-step explanation:

a. False. The range of the function represents the possible output values, which in this case is the total cost of ordering mugs. Since the cost of ordering mugs can be any positive value (mugs can't have a negative cost), the range is y|y>0.

b. True. The domain of the function represents the possible input values, which in this case is the number of mugs Marta can order. Since she can order any number of mugs, the domain is all real numbers.

c. False. The y-intercept is the value of the function when the input is 0. Substituting 0 into the function gives C(0)=7, so the y-intercept is 7.