A(1) = - 3 ;
a(2) = a(1) + ( 2 - 1 )d ;
3 = -3 + d ;
d = 6 ;
a(3) = a(1) + ( 3 - 1)d;
9 = - 3 + 2d ;
12 = 2d ;
d = 6 ;
a(4) = a(1) + ( 4 - 1 )d ;
15 = -3 + 3d ;
18 = 3d ;
d = 6 ;
Then, a(n) = - 3 + ( n- 1 )6 ;
a(n) = - 3 + 6n - 6 ;
a(n) = 6n - 9 is an explicit functin rule for the sequence -3, 3, 9, 15, ...
Using a linear function, it is found that the rate of change in this problem situation is of -2 contestants per week.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the situation described, the number of participants after n weeks is given by:
N(n) = 20 - 2n.
The slope is of -2, hence the rate of change in this problem situation is of -2 contestants per week.
More can be learned about linear functions at brainly.com/question/24808124
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Step-by-step explanation:
$21
Let the amount Lori bought the shirt and the hat be $x, if she bought them at half off sale, the initial price of both item will be 2 × $x
If she spent $21 on both items, the initial price will have been 2 x $21 = $42 where x is $21
Original price of the hat and shirt is therefore $42. Since both are on half off sale, the initial price is the hat will be $42/2 = $21
Answer:
C. 700 km/hour
Step-by-step explanation:
Given:
Total number of problems = 24
Michael completed 
of his homework in 
of an hour.
To find:
What fraction of his homework would he complete in one hour.
Solution:
We have,
Part of work done in of an hour 
Part of work done in an hour 
Therefore, he complete 
of his homework in 1 hour. Hence, all options are incorrect.
