### Student Page2.7.5Slope and $$y$$-Intercept in Context A4US

#### 1.

For each story:

1. Create a table.

2. Plot the data in the table electronically.

3. Find the slope and $$y$$-intercept. Explain how you know each is correct based on the context.

4. Determine an equation.

5. Graph the equation electronically on the same graph as in Item 2.7.5.1.b to verify the equation fits the data.

##### (a)

At a comedy club, the entrance fee is $15. Beverages cost$5 each. How much will you pay overall including entrance fee and $$x$$ beverages?

###### (i)Table.
$$x$$ $$y$$
1
2
3
4
5
6
$$x$$

###### (iii)Slope.

How do you know you're right?

###### (iv)Intercept.

How do you know you're right?

##### (b)

###### (i)Table.
$$x$$ $$y$$
100
200
300
400
500
600
$$x$$

###### (iii)Slope.

How do you know you're right?

###### (iv)Intercept.

How do you know you're right?

##### (f)

Daevon plays basketball at the Y. The Y charges $52 each month plus a$20 initiation fee. How much will Daevon pay for $$x$$ months of use of the Y?

###### (i)Table.
$$x$$ $$y$$
1
2
3
4
5
6
$$x$$

###### (iii)Slope.

How do you know you're right?

###### (iv)Intercept.

How do you know you're right?

#### 2.

Create two different stories that relate to your life. One story must have a negative slope. The other must have a positive slope. Fill-in the following for your stories.

##### (a)

###### (ii)Table.
$$x$$ $$y$$
1
2
3
4
5
6
$$x$$

###### (vii)Table.
$$x$$ $$y$$
1
2
3
4
5
6
$$x$$