As a way of saying, “Thank You.”, Katie wants to use her birthday money to send masks to the staff at the nursing home where her grandmother lives. She has two options to do this.
Option 1: Make them herself:
Katie came up with an equation to represent her total cost (including sending them).
y = 4.95 x + 18
+
Option 2: Order online from a company that charges a fixed shipping fee:
No. of masks ordered
Total Cost
10
71.50
20
119.00
30
166.50
Which option costs less per mask?
If she has $142 to spend total, which option should she choose?
How many masks will she be able to send?
To determine which option costs less per mask, we need to compare the cost per mask in each option.
For Option 1, the equation is y = 4.95x + 18, where y represents the total cost and x represents the number of masks Katie makes herself. To find the cost per mask in Option 1, we divide the total cost by the number of masks made:
Cost per mask in Option 1 = (4.95x + 18) / x
For Option 2, we have a table of total costs based on the number of masks ordered. We can calculate the cost per mask by dividing the total cost by the number of masks ordered:
Cost per mask in Option 2 = Total cost / No. of masks ordered
By comparing the equations for both options, we can determine which option costs less per mask.
Next, we need to consider Katie's budget of $142. Since the total cost includes the cost of sending the masks, we cannot spend the entire budget on just the masks. Therefore, we need to subtract the amount spent on shipping from the total budget to find the maximum amount Katie can spend on masks.
Now, we can use the cost per mask for each option to determine how many masks Katie can send with the remaining budget.
Let's calculate the cost per mask for both options and determine which option to choose and how many masks Katie can send.