Answer:
Step-by-step explanation:
GIVEN: Catherine sells cupcakes c for 
each, The ingredients for each cupcake cost her 
, and the sum of all her other expenses is 
.
TO FIND: Equation to represent Catherine's profit from selling cupcakes.
SOLUTION:
Cost of ingredients for each cupcake 
sum of all other expenses 
Selling price of each cupcake 
Total cupcakes sold 
Now,
As we know that 
putting values,
Hence the equation to represent Catherine's profit (p) from selling cupcakes for one month Catherine sells is
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
This is a exponential function of the form
where
a is the initial value or the y-intercept
b is the base of the exponential function
If b>1 then is a exponential growth function
If b<1 then is a exponential decay function
In this problem
The y-intercept is equal to
For x=0
The y-intercept is the point (0,1)
so
The value of b is greater than 1
so
Is a growth function
To plot the graph create a table with different values of x and y
For x=-1
f(x)=2^-1=0.5
point (-1,0.5)
For x=1
point (1,2)
For x=2
point (2,4)
For x=3
point (3,8)
For x=4
f(x)=2^4=16
point (4,16)
Plot the y-intercept and the other points and connect them to graph the exponential function
Note that as x increases the value of y increases (exponential growth function)
The graph in the attached figure
Step-by-step explanation:
x=2
y=0
.................
Step by step explanation
Cost of one hotdog =140/56=2.5
To find the number of hot dogs =total cost so the cost of one hotdog is =175/2.5=70
So the numbers of hot dogs he had to sell more of =70-56=14
