Determine the constant of Proportionality in the situation below
1 answer:
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Answer:
=
(3n + 7)
Step-by-step explanation:
We require to find the first term a₁ and the common difference d
The n th term is given by 3n + 2, thus
a₁ = 3(1) + 2 = 3 + 2 = 5
a₂ = 3(2) + 2 = 6 + 2 = 8
d = 8 - 5 = 3
=
[ 2a₁ + (n - 1)d ], substitute values
=
[ (2 × 5) + 3(n - 1) ] =
(10 + 3n - 3) =
(3n + 7)
I'm sorry but the solution you proposed was a bit hard to follow, so I'll just post my solution: we convert "2 and 1/2" to a single fraction:
So, we know that 5/2 gallons cost 60 dollars, which means
To find the cost of a single gallon, we have to solve the equation for g: