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Alex Ar [27]
3 years ago
9

Steven wants to increase the number of books he reads per year. He currently reads 2 books a year. He wants to triple the number

of books he reads each year compared to the previous year. Which equation best represents the number of books Steven will read after the nth year?
Mathematics
1 answer:
Sladkaya [172]3 years ago
8 0

Answer:

B=2\times 3^n

Step-by-step explanation:

<u>Exponential Growing </u>

Steven currently reads 2 books a year. He wants to triple the number of books read per year. The first year he should read

2*3 = 6\ books

By the second year, he should read

2*3^2 = 18\ books

By the third year, he should read

2*3^3 = 54\ books

We can clearly see there is a geometric progression of the number of books he should read for the year n. The general formula is, being B the number of books read at the year n

\boxed{B=2\times 3^n}

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Answer:

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Step-by-step explanation:

First of all, we create 2 LINEAR function, i created the function f(x)=2x+5 and the function h(x)=3x+2, both are linear(without a quadratic term). Then

you replace the x for a number:

Table 1 (F(X)=2X+5)                                 Table 2 (H(X)=3X+2)

X=1----->Y=2+5=7                                     X=1------>Y=3·1+2=5

X=2---->Y=2·2+5=9                                  X=2----->Y=3·2+2=8

X=3---->Y=3·3+5=11                                  X=3----->Y=3·3+2=11

With both tables of data we can see that in the X=3/Y=11 point this two linear functions will intersect so the answer is that the two functions will intersect at (3,11)----->(X,Y)

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