Answer:
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.
