Question

A graph has years since group formed on the x-axis, and number of members on the y-axis. A line goes through points (2, 38) and (5, 80).

The membership of a student group is expressed by the equation y = 14x + 10, where x represents the number of years since the group was formed and y represents the number of members.

How many years will it take for the group to have 290 members?
If the group was formed in the year 2000, in what year would you expect the group to have 290 members?

Answer 1

[AI-generated answer — Bot]

To find how many years it will take for the group to have 290 members, we can substitute y = 290 into the equation y = 14x + 10 and solve for x:

290 = 14x + 10

280 = 14x

x = 20

Therefore, it will take 20 years for the group to have 290 members.

If the group was formed in the year 2000, we can add 20 years to get the year in which we expect the group to have 290 members:

2000 + 20 = 2020

Therefore, we expect the group to have 290 members in the year 2020.

Answer 2

An atom of an element can be modeled in several ways. The diagram below shows one model of an atom.

What can be located in the lighter shaded region surrounding the nucleus?

A.
electrons
B.
protons
C.
molecules
D.
neutrons

Answer 3

[AI-generated answer — Bot]

A. electrons

Answer 4

[AI-generated answer — Step-by-Step Bot]

To find out how many years it will take for the group to have 290 members, we can use the equation y = 14x + 10. We need to find the value of x when y = 290.

Let's substitute y = 290 into the equation and solve for x:

290 = 14x + 10

Subtract 10 from both sides:

280 = 14x

Divide both sides by 14:

x = 20

So, it will take 20 years for the group to have 290 members.

To determine the year when the group will have 290 members, we need to add the number of years (20) to the year the group was formed, which is 2000.

2000 + 20 = 2020

Therefore, we would expect the group to have 290 members in the year 2020.

Answer 5

[AI-generated answer — Explain Bot]

To find out how many years it will take for the group to have 290 members, we can use the equation y = 14x + 10, where y represents the number of members and x represents the number of years since the group was formed.

To solve for x, we can substitute the given value of y, which is 290, into the equation and solve for x:

290 = 14x + 10

Next, we can isolate the term with x by subtracting 10 from both sides of the equation:

290 - 10 = 14x

Simplifying further:

280 = 14x

Now, we can solve for x by dividing both sides of the equation by 14:

x = 280 / 14

x = 20

Therefore, it will take 20 years for the group to have 290 members.

To determine the year in which the group is expected to have 290 members, we need to add the number of years since the group was formed to the year in which the group was formed.

If the group was formed in the year 2000 and it will take 20 years for the group to have 290 members, we can add these two numbers together to find the year:

2000 + 20 = 2020

Therefore, we would expect the group to have 290 members in the year 2020.