Example 9: Sara drove at a rate of 3 miles every 6 minutes. Fill in the table to describe the relationship.
6
12 18
124
30
Time (minutes)
9 Distance (miles)
6
99
12
15
4
Graph the relationship.
20
2
Find the slope of the line and the unit
rate. What does the slope represent
in the context of the problem?
Distance (mi)
Unit Rate: 3miles commi 246310
0
20
Slope:
30
Time (min)

Step-by-step explanation:

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.