Guided Practice
1 answer:
You might be interested in
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 rate of change of f(x) is greater than that of g(x)
They have the same y intercept of 14
Step-by-step explanation:
Given
Table for function f(x)
Required
Compare their rate of change and intercept
For g(x), we have:
The form of an equation is:
Where
So:
For f(x): Start by calculating the slope (m)
The intercept is calculated using:
Where
--- we want to solve for y
So:
Multiply both sides by 2
Make y the subject
So, we have:
and
-- for g(x)
and
--- for f(x)
By comparison:
The rate of change (i.e. slope) of f(x) is greater than that of g(x) because
They have the same y intercept of 14