Question

Paola uses a fitness application on her phone to track how many miles she walks per day. Before a hike, she notes that her mile count is at 1.5. In general, Paola knows that her walking speed is around 3 mph. From this information, she develops the equation y = 3x + 1.5 to represent the total number of miles, , her phone will show after X hours on the hike.

PART A

Complete the table with the total number of miles shown on Paola's phone after X hours.

Hours (X) Total Miles (Y)
0 ---- 1.5
1 ---- (blank)
2 ---- (blank)
3 ---- (blank)

Answer 1

To find the total number of miles (Y) shown on Paola's phone after \( X \) hours, we can use the equation \( y = 3x + 1.5 \).

Let's calculate \( Y \) for each hour value in the table:

1. For \( X = 0 \):
\[
Y = 3(0) + 1.5 = 1.5
\]

2. For \( X = 1 \):
\[
Y = 3(1) + 1.5 = 3 + 1.5 = 4.5
\]

3. For \( X = 2 \):
\[
Y = 3(2) + 1.5 = 6 + 1.5 = 7.5
\]

4. For \( X = 3 \):
\[
Y = 3(3) + 1.5 = 9 + 1.5 = 10.5
\]

Now, let's fill in the table:

| Hours (X) | Total Miles (Y) |
|-----------|------------------|
| 0 | 1.5 |
| 1 | 4.5 |
| 2 | 7.5 |
| 3 | 10.5 |