General admission to The American Museum of Natural History is $19.
1 answer:
Answer:
(a) $2,375.
(b) $2,875.
Step-by-step explanation:
We have been general admission to The American Museum of Natural History is $19.
(a). To find the total cost of tickets for a group of 125 students, we will multiply 125 by $19.
Therefore, the total cost of 125 tickets would be $2,375.
(b). We have been given that the group also purchases IMAX movie tickets for an additional $4 per student.
The total cost of one ticket would be the cost of museum ticket plus movie ticket that is .
The new total cost of 125 tickets would be 125 times $23.
Therefore, the new total cost of 125 tickets would be $2,875.
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To answer this, we will need to know:
• The slope of the equation we are trying to get
• The point it passes through using the
First, we will need to find the slope of this equation. To find this, we must simplify the equation
into 
form. Lets do it!
=
(Subtract 3x from both sides)
=
(Divide both sides by 5)
The slope of a line perpendicular would have to multiply with the equation we just changed to equal -1. In other words, it would have to equal the negative reciprocal.
The negative reciprocal of the line given is
.
Now that we know the slope, we have to find out the rest of the equation using the slope formula, which is:
Substituting values, we find that:
By simplifying this equation to slope-intercept form (By cross-multiplying then simplifying), we then get that:
, which is our final answer.
Thank you, and I wish you luck.
• The slope of the equation we are trying to get
• The point it passes through using the
First, we will need to find the slope of this equation. To find this, we must simplify the equation
=
=
The slope of a line perpendicular would have to multiply with the equation we just changed to equal -1. In other words, it would have to equal the negative reciprocal.
The negative reciprocal of the line given is
Now that we know the slope, we have to find out the rest of the equation using the slope formula, which is:
Substituting values, we find that:
By simplifying this equation to slope-intercept form (By cross-multiplying then simplifying), we then get that:
Thank you, and I wish you luck.
For this case we have a function of the form:
Where,
A: initial population of bacteria
b: growth rate
x: number of hours
Since the diameter is double every hour, then:
We must now look for the value of A.
To do this, we evaluate an ordered pair of the graph:
For (1, 2):
Clearing A we have:
Then, the function is given by:
For after 9 hours we have:
Answer:
the diameter of the bacteria after 9 hours is: