218k views
1 vote
Use a calculator to find the equation which models the exponential data given by the table. ( the x is an exponent btw)

A y = 1.5(3)x
B y = 3(1.5)x
C y = 3(0.5)x
D y = 0.5(3)x

1 Answer

0 votes
A) y = 1.5(3)^x

If we plug in x = 0, we get:

y = 1.5(3)^0 = 1.5

However, from the table we can see that when x = 0, y = 2. Therefore, option A is not correct.

B) y = 3(1.5)^x

If we plug in x = 1, we get:

y = 3(1.5)^1 = 4.5

This matches the second value in the table. Let's check the other values:

- When x = 0, y = 3 (matches the first value)
- When x = 2, y = 6.75 (matches the third value)

Therefore, option B is correct.

C) y = 3(0.5)^x

If we plug in x = 0, we get:

y = 3(0.5)^0 = 3

However, from the table we can see that when x = 0, y = 2. Therefore, option C is not correct.

D) y = 0.5(3)^x

If we plug in x = 1, we get:

y = 0.5(3)^1 = 1.5

This does not match the second value in the table. Therefore, option D is not correct.

Therefore, the correct equation that models the exponential data given by the table is:

y = 3(1.5)^x.
User Pugnator
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories