Final answer:
To find the number of donuts in a box priced at Php 221, we use the equation P = 18d + 5. By solving this, we find that the box contains 12 donuts. A graph representing this would show a straight line with a slope of 18 and an intercept at Php 5.
Step-by-step explanation:
Calculating the Number of Donuts in a Box
To find out how many donuts would be in a box priced at Php 221, we need to establish the equation that describes the pricing of the donuts and the box. Jolli Donuts charges Php 18 for each special donut and a fixed charge of Php 5 for the box. The total price (P) for a certain number of donuts (d) can be expressed as:
P = 18d + 5
Given that the total price for the box is Php 221, we can substitute P with 221 and solve the equation for d:
221 = 18d + 5
To find the value of d, we subtract 5 from both sides of the equation:
216 = 18d
Now, dividing both sides by 18 gives us:
d = 12
The box priced at Php 221 would contain 12 donuts.
To graph this, we would plot the price P on the y-axis and the number of donuts d on the x-axis, ranging from 1 to 24 donuts. The graph would show a straight line starting at Php 5 (the fixed charge for the box) when d=0 and increasing by Php 18 for each additional donut.