Answer:
It is c = kt.
Step-by-step explanation:
This is direct variation . As the time increases the number of cranes increases.
The equation is c = kt where k is the constant of variation. In this case it will be a positive value because c is increasing with time.
If they make 20 cranes in 10 minutes then we can find the value of k by plugging in these values;
20 = k * 10
g = 20/10
k = 2.
So they make 2 cranes per minute.
Answer:
See below
Step-by-step explanation:
a) <u>Using the first two lines to get the equation:</u>
Since t = 0 represents a start point, the y-intercept is 163488
<u>Slope is:</u>
- (168392 - 163488)/10 = 490.4
<u>And the equation:</u>
- P(t) = 490.4(t - 1970) + 163488
b) Prediction of the population in 2012 using the function:
- P(2012) = 490.4(2012 - 1970) + 163488 = 184084.8
As we see the number we got is less than the one on the line 3 of the table. So the model underestimated the actual population.
Option B
48 = 2s - 3 shows an equality between number of political articles that Reggie wrote this year
<h3><u>Solution:</u></h3>
Given that, Reggie wrote a total of 48 political articles for the town newspaper this year
Number of political articles = 48
Let s represent the number of sports articles he wrote
The number of political articles he wrote is 3 less than twice the number of sports articles he wrote
Number of political articles = twice the number of sports articles - 3
Number of political articles = (2 x number of sports articles) - 3
Number of political articles = 2s - 3
We know that, number of political articles = 48
48 = 2s - 3
Thus above equation shows an equality between number of political articles that Reggie wrote this year
