Review the graph.
2 answers:
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Answer:
The exponential function will be
Step-by-step explanation:
Let the exponential function is given by ............ (1)
Now, ordered pairs (2,20) and (3,40) are the solution of the above exponential function. So, they will satisfy the equation.
Now, for the ordered pair (2,20) putting f(2) = 20, we get
............. (2)
Again, for the ordered pair (3,40) putting f(3) = 40, we get
............. (3)
Now, from equations (3) and equation (2) we get,
2 = b
⇒ b = 2.
Now, from equation (2) we get,
⇒ a = 5
Therefore, the exponential function will be
(Answer)
Answer:
a)The company has to 250 cameras in one day to equal its daily cost
b)Their daily profit will be $400
Step-by-step explanation:
Given:
overhead expenses = $1500
labour and materials expenses = $9
cameras sell for $15 each
To Find:
(a)How many cameras must the company sell in one day to equal its daily cost
(b) If the manufacturer can increase production by 50 cameras per day, what would their daily profit be?
Solution:
a) let the number of cameras sold per day be x
Total daily cost = overhead expenses +labour and materials expenses
Total daily cost = 1500 + 9x--------------------------(1)
Total daily revenue = 15x------------------------------(2)
Equating (1) and (2)
1500 + 9x = 15x
1500 = 15x- 9x
1500 = 6x
x=
x= 250
So, the company has to 250 cameras in one day to equal its daily cost.
b) increasing production by 50 cameras per day will give a daily profit of
=>50 X (17-9)
=>50 X 8
=> 400