Question

circle the unit rate in the table. use the unit rate to complete the table. draw the graph and show the unit rate triangle.
time
distance
seconds
yards
1
2

10
3

2

8

Explanation:

Step1: Identify the unit rate

The unit rate is the distance per 1 second. Given when time \(t = 1\) second, distance \(d=2\) yards. So the unit rate \(r = 2\) yards per second.

Step2: Complete the table

• When \(d = 10\) yards, using the formula \(d=rt\) (where \(r = 2\)), then \(t=\frac{d}{r}=\frac{10}{2}=5\) seconds.
• When \(t = 3\) seconds, \(d=rt=2\times3 = 6\) yards.
• When \(t = 2\) seconds, \(d=rt=2\times2=4\) yards.
• When \(d = 8\) yards, \(t=\frac{d}{r}=\frac{8}{2}=4\) seconds.

Answer:

Seconds	Yards
5	10
3	6
2	4
4	8

For the graph: Plot the points \((1,2)\), \((5,10)\), \((3,6)\), \((2,4)\), \((4,8)\). The unit - rate triangle can be formed with the point \((1,2)\), the origin \((0,0)\) and the point \((1,0)\) (base of length \(1\) along the \(x\) - axis and height of length \(2\) along the line from \((1,0)\) to \((1,2)\)).