Hey there! :)
Answer:
a) 32 sticks.
b) 5n + 2 sticks.
Step-by-step explanation:
Solve this by finding the pattern.
Pattern # 1 = 7 sticks.
Pattern #2 = 12 sticks
Pattern #3 = 17 sticks.
We can see an increase of 5 sticks within each. We can use this to write an equation:
f(n) = 7 + 5(n-1)
***Where n is the term number
You can simplify the equation to become:
f(n) = 7 + 5n - 5
f(n) = 5n + 2.
Use this equation to solve for pattern # 6:
f(6) = 7 + 5(n-1)
f(6) = 7 + 5(5)
f(6) = 7 + 25
f(6) = 32.
I I'm guessing true if you don't think so then don't take my advice.
What problem is there to show work for?
Number of days Val rented the bicycle is 8
<h3><u>Solution:</u></h3>
Given that val paid a flat rental fee of $55.00 plus $8.50 each day
The total cost was $123
To find: number of days she rented the bicycle
Let "a" be the number of days she rented the bicycle
Rental fee = $55.00
Fee for one day = $ 8.50
So total cost is equal to rental fee and fee for "a" days
Total cost = rental fee + (number of days she rented the bicycle x Fee for one day)


123 - 55 = 8.50a
8.50a = 68

Thus number of days she rented the bicycle is 8
30 * 11.95 = 358.5 so mr kaplan will end up paying $358.5