Question

1. reggie started a running program to prepare for track season. he ran a half hour each morning for 60 days. he averaged 6.5 miles per hour. what is the total number of miles reggie ran over the 60 - day period?
2. select the correct constant rate of change for each table of data.

number of apples: 3, 7, 11; number of seeds: 30, 70, 110
options: \\(\frac{1}{12}\\), \\(\frac{1}{10}\\), \\(\frac{12}{1}\\), \\(\frac{10}{1}\\)
number of tables: 4, 6, 9; number of chairs: 48, 72, 108
options: \\(\frac{1}{12}\\), \\(\frac{1}{10}\\), \\(\frac{12}{1}\\), \\(\frac{10}{1}\\)
number of passengers: 24, 60, 120; number of vans: 2, 5, 10
options: \\(\frac{1}{12}\\), \\(\frac{1}{10}\\), \\(\frac{12}{1}\\), \\(\frac{10}{1}\\)
number of booklets: 20, 50, 100; number of pages: 2, 5, 10
options: \\(\frac{1}{12}\\), \\(\frac{1}{10}\\), \\(\frac{12}{1}\\), \\(\frac{10}{1}\\)

Explanation:

Step1: Calculate daily miles run

Reggie runs 0.5 hours daily at 6.5 mph.
$\text{Daily miles} = 6.5 \times 0.5 = 3.25$

Step2: Calculate total 60-day miles

Multiply daily miles by 60 days.
$\text{Total miles} = 3.25 \times 60 = 195$

Step3: Find apples-seeds rate

Divide seeds by apples.
$\frac{30}{3} = \frac{10}{1}$

Step4: Find tables-chairs rate

Divide chairs by tables.
$\frac{48}{4} = \frac{12}{1}$

Step5: Find passengers-vans rate

Divide passengers by vans.
$\frac{24}{2} = \frac{12}{1}$

Step6: Find booklets-pages rate

Divide booklets by pages.
$\frac{20}{2} = \frac{10}{1}$

Answer:

1. 195

16.

• Number of Apples/Seeds: $\frac{10}{1}$
• Number of Tables/Chairs: $\frac{12}{1}$
• Number of Passengers/Vans: $\frac{12}{1}$
• Number of Booklets/Pages: $\frac{10}{1}$