Answer:
<em />
<em />
Step-by-step explanation:
Given
In 1990; Income= $39000
In 2010; Income= $70768
Solving (a): An equation in form of f(x) = ax + b
First, we need to determine the slope, a
Taking y as income and x as year index.
When x = 0; y = 39000
When x = 20; y = 70768
Substitute these values in the above formula
Next, is to determine the formula using:
<em>Considering :When x = 0; y = 39000, we have</em>
<em />
<em />
<em />
<em />
<em>Make y the subject of formula</em>
<em />
<em />
<em />
<em>Express y as a function of x</em>
<em /><em />
Solving (b): Income in 2005
<em>In 2005, x = 15</em>
So:
becomes
Answer: f(-4) = 17
Step-by-step explanation: Substitute (-4) for x.
- f(-4) = -5(-4) - 3
- f(-4) = 20 - 3
- f(-4) = 17
Answer:
160 visitors.
Step-by-step explanation:
Given:
An average of 145 people visited a 4-day exhibition on the first 3 days, <u>means here average people visited in 3 days is given 145.</u>
Average = 145
Number of people, n = 3
Another 205 people visited the exhibition on the fourth day.
To find:
What is the average number of visitors per day ?
Solution:
<u>First of all we will find total number of people visited in 3 days:-</u>
As we know:
Multiplying both sides by 3
Thus, we found that total number of people visited in 3 days is 435 and as 205 people visited in fourth day, then total number of people increased to
435 + 205 = 640
Now, sum of total observations( total number of people ) = 640
And number of observation ( number of days ) = 4
Now, we will calculate average number of visitors visit per day :-
Thus, the average number of visitors per day is 160 visitors.
Evaluate : 8 - 9 + (-2)
8-9= -1 (because if you take away 9 from 8, you will end up with a negative number since there isn’t enough to take away.)
-1 + -2 = -3 (this is because when you are adding two negative numbers together, you will basically just add -1 and -2 as you would normally, then you would transfer the negative sign as well to make it -3)
Finally, your answer to this question is -3.
