Ask Question
2 July, 22:29

Mugs Café sells 1000 cups of coffee per week if it does not advertise. For every $50 spent in advertising per week, it sells an additional 150 cups of coffee. a) Find a linear function that gives y = number of cups of coffee sold per week x = amount spent on advertising per week. b) How many cups of coffee does Mugs Café expect to sell if $100 per week is spent on advertising?

+4
Answers (1)
  1. 2 July, 22:47
    0
    1,300 cups

    Explanation:

    This can be solved as follows:

    Question "a"

    y = a + bx ... (1)

    Where,

    y = number of cups of coffee sold per week

    x = number of times b is multiplied based on the amount spent on adverts

    amount spent on advertising per week

    a = fixed cups of coffee per week without advertising = 1,000 cups

    b = extra quantity sold when $50 is spent on advertisement = 150 cups

    If the available figures above are substituted into equation (1), we will have the linear function as follows:

    y = 1000 + 150x ... (2)

    Equation (2) is the linear function required.

    Question "b"

    If $100 per week is spent on advertising, we can get X by dividing it by $50 as follows:

    x = $100 : $50 = 2

    Substituting 2 for x in equation (2), we can calculate y as follows:

    y = 1000 + 150 (2)

    = 1000 + 300

    = 1,300 cups.

    Therefore, 1,300 cups of coffee are expected to be sold per week by Mugs Café if it spends $100 per week on advertising.

    I wish you the best.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Mugs Café sells 1000 cups of coffee per week if it does not advertise. For every $50 spent in advertising per week, it sells an additional ...” in 📗 Business if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers