NIKKI'S WALK At the beginning of the semester, Nikki was walking 60 minutes a week. She wants to add to her walking this semester by increasing her time by 5 minutes each week.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![### Nikki's Walk
At the beginning of the semester, Nikki was walking 60 minutes a week. She wants to add to her walking this semester by increasing her time by 5 minutes each week.
**a. Make a table for at least four values for the time that Nikki walks in terms of the number of weeks into the semester.**
- **Hint**: A semester typically has 16 weeks in all, so make sure your table goes up to 16 weeks.
**b. Write an equation for the time that Nikki walks in terms of the number of weeks into the semester.**
**c. Graph your equation by plotting points.**
#### a. Table for Walking Time
| Weeks (x) | Walking Time (minutes) (y) |
|-----------|----------------------------|
| 1 | 60 |
| 2 | 65 |
| 3 | 70 |
| 4 | 75 |
| ... | ... |
| 16 | 135 |
#### b. Equation for Walking Time
The time Nikki walks in minutes (y) can be represented by the equation:
\[ y = 60 + 5(x - 1) \]
Simplified, the equation is:
\[ y = 55 + 5x \]
Here, \( x \) represents the number of weeks.
#### c. Graph Explanation
To graph the equation, plot the points in the table on a coordinate plane with the x-axis representing the number of weeks and the y-axis representing the walking time in minutes. Draw a straight line through the points to visualize the increase in walking time over the semester.
*The graph should be a straight line starting from (1, 60) and ending at (16, 135).*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92ab3c20-a3cd-4c1e-8775-52ac5ed4d4cf%2F24ae4c19-2dc9-46b5-b09c-a1608835d0d1%2F34cplk_processed.jpeg&w=3840&q=75)
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