Y = 5x + 3
when x = 4
y = 5(4) + 3 = 23
Answer (4,23)
Answer:
r = 9
Step-by-step explanation:
Given that c varies directly as (r + 1) then the equation relating them is
c = k(r + 1) ← k is the constant of variation
To find k use the condition c = 8 when r = 3, then
8 = k(3 + 1) = 4k ( divide both sides by 4 )
2 = k
c = 2(r + 1) ← equation of variation
When c = 20, then
20 = 2(r + 1) ← divide both sides by 2
10 = r + 1 ( subtract 1 from both sides )
9 = r
Convert the mixed number into a decimal and multiply on a calculator (or by hand).
The recursive rule is

.
The iterative rule is

The recursive rule is given by the formula

, where d is the common difference. Our common difference is -4, which gives us the recursive rule above.
The iterative rule begins with the formula

, where a₁ is the first term and d is the common difference. Our first term is 10 and our common difference is -4: