Question

The graph shows the membership of a student group: x represents the number of years since the group was formed and y represents the number of members.

The equation is y = 14x + 10.


Which is true regarding the slope?

Membership grows by 14 each year.

The group was formed with 14 members.

Membership is recorded every 14 years.

Answer 1

The answer is : membership grows by 14 each year because 14x is the slope which means you go up 14 over 1 on a graph so it increases by 14 every year.

Answer 2

we conclude that Membership grows by 14 each year.

Explanation:

Given the equation

`y=14x+10`

Comparing the equation with the slope-intercept form

`y=mx+b`

Here, m is the slope and b is the y-intercept.

From the equation, we can determine the slope

`y=14x+10`

`m=14` ∵
`y=mx+b`

Hence, the slope is m=16.

We know that the slope is referred to as the 'rate of change'.

For example, if you have a part-time job at a store. You save for her tour at a rate of $20 every week. It means, your rate of change will be $20 per week.

So given the equation

`y=14x+10`

m = rate of change = slope = 24

The slope is basically a vertical change divided by the horizontal change.

Therefore, we conclude that Membership grows by 14 each year.