Kathleen is ordering wraps from a local sandwich shop. The total charge includes a set delivery fee plus the price per wrap. Each rap is the same price. Kathleen asks about specific orders and is given the following info:
If she orders 20 wraps, the total cost will be $100
If she orders 25 wraps, the total cost will be $122.50
Write a linear equation in the form y=mx+b to represent y, the total cost of ordering x sandwiches. Explain how your answer is correct.
cost=minute y=0.o3x+10
To find the equation, we need to determine the slope (m) and the y-intercept (b) values.
First, let's find the incremental cost per wrap. We can do this by subtracting the total cost for 20 wraps from the total cost for 25 wraps.
Total cost for 25 wraps = $122.50
Total cost for 20 wraps = $100
Incremental cost per wrap = Total cost for 25 wraps - Total cost for 20 wraps
= $122.50 - $100
= $22.50
So, the incremental cost per wrap is $22.50.
Now, we can determine the y-intercept (b) value. We know that if Kathleen orders 20 wraps, the total cost is $100. From this information, we can deduce that the fixed delivery fee is $100 - (20 wraps * incremental cost per wrap).
Delivery fee = Total cost for 20 wraps - (20 wraps * incremental cost per wrap)
= $100 - (20 * $22.50)
= $100 - $450
= -$350 (negative since it's a delivery fee)
Finally, we can write the linear equation in the form y = mx + b, where y is the total cost of ordering x wraps.
y = (incremental cost per wrap) * x + b
y = $22.50 * x - $350
Hence, the linear equation that represents the total cost of ordering x wraps is y = $22.50x - $350.