Worksheet titled "Intercept Form Word Problems" featuring math exercises related to slope-intercept form equations.

It looks like you've uploaded a document titled "Intercept Form Word Problems", which contains several word problems asking for equations in slope-intercept form (i.e., $ y = mx + b $), where:

- $ m $ is the slope (rate of change),
- $ b $ is the y-intercept (initial value),
- $ x $ is the independent variable (usually time or quantity),
- $ y $ is the dependent variable (cost, population, etc.).

Let’s go through each problem and solve them one by one. Since I can’t view the image directly, I’ll interpret based on your description and common formats.

---

🔹 Problem 1:

> There is a $30 sign-up fee and $4 a month fee. Write an equation in slope-intercept form that models this situation.

#### Solution:
- Sign-up fee: $30 → this is the initial cost (y-intercept).
- Monthly fee: $4 per month → this is the rate of change (slope).
- Let $ x $ = number of months
- Let $ y $ = total cost

So:
$$
y = 4x + 30
$$

✔ Answer: $ y = 4x + 30 $

---

🔹 Problem 2:

> In order to join an online learning community, there is a $20 start-up fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

#### Solution:
- Start-up fee: $20 → y-intercept
- Monthly fee: $5 → slope
- $ x $ = months, $ y $ = total cost

$$
y = 5x + 20
$$

✔ Answer: $ y = 5x + 20 $

---

🔹 Problem 3:

> In order to become a member of the library all-stop-members club, there is a $8 sign-up fee and a $12 monthly fee. Write an equation in slope-intercept form that models this situation.

#### Solution:
- Sign-up fee: $8 → $ b = 8 $
- Monthly fee: $12 → $ m = 12 $
- $ y = 12x + 8 $

✔ Answer: $ y = 12x + 8 $

---

🔹 Problem 4:

> Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.

#### Solution:
- Base rental: $4 → y-intercept
- Per hour charge: $1.50 → slope
- $ x $ = hours, $ y $ = total cost

$$
y = 1.50x + 4
$$

✔ Answer: $ y = 1.5x + 4 $

---

🔹 Problem 5:

> The U.S. Bureau of the Census predicted that the population of Florida would be about 17.4 million in 2010 and then would increase by about 0.22 million per year until 2015. Which of the following equations predicts the population (in millions) in terms of years since 2010?

Let’s assume the options are:

A) $ y = 17.4x + 0.22 $
B) $ y = 0.22x + 17.4 $
C) $ y = 17.4x + 1.7 $
D) $ y = 0.22x + 17.4 $

Wait — B and D look identical? Possibly typo.

But let's analyze:

- In 2010: population = 17.4 million → when $ x = 0 $, $ y = 17.4 $
- Growth rate: 0.22 million per year → slope = 0.22

So:
$$
y = 0.22x + 17.4
$$

✔ Answer: $ y = 0.22x + 17.4 $ → Choose B or D, depending on labeling.

---

🔹 Problem 6:

> Use the equation you wrote in problem 3 to find the total cost of being an all-stop library member for 18 months.

From Problem 3: $ y = 12x + 8 $

Now plug in $ x = 18 $:

$$
y = 12(18) + 8 = 216 + 8 = 224
$$

✔ Answer: $ \boxed{224} $ dollars

---

🔹 Problem 7:

> Use the equation from problem 4 to complete the table:

| Hours | Cost |
|-------|------|
| 0 | |
| 1 | |
| 2 | |

Equation: $ y = 1.5x + 4 $

- When $ x = 0 $: $ y = 1.5(0) + 4 = 4 $
- When $ x = 1 $: $ y = 1.5(1) + 4 = 5.5 $
- When $ x = 2 $: $ y = 1.5(2) + 4 = 3 + 4 = 7 $

✔ Completed Table:

| Hours | Cost |
|-------|------|
| 0 | 4 |
| 1 | 5.5 |
| 2 | 7 |

---

✔ Summary of Answers:

1. $ y = 4x + 30 $
2. $ y = 5x + 20 $
3. $ y = 12x + 8 $
4. $ y = 1.5x + 4 $
5. $ y = 0.22x + 17.4 $
6. $ \boxed{224} $
7. Table filled as above

---

Let me know if you'd like these formatted as a printable answer sheet or need help graphing any of them!