Answer:
a. 76 cm
b. 16 in.
c. 225 cm
Explanation:
a. Converting 30 inches to centimetres:
When y(inches) = 30, x (centimetres) = 76
So, 30 in. = 76 cm
b. When x (cm) = 40, y (in.) = 16
So, 40 cm = 16 in.
c. Given that a fence is 7 ft 6 in. high, and 1 ft = 12 in., to find the height of the fence in cm, first convert the height to in.
Convert 7ft to inches:
If 1 ft = 12 in., then,
7 ft = 7*12 = 84 inches
The height of the fence in inches = 84 + 6 = 90 inches
Using the graph, find the unit rate using any point on the line, say (100, 40):
Unit rate = y/x = inches/centimeters =
Unit rate (m) = 40/100 = ⅖
Write an equation for the line:
To do this, substitute m = ⅖ into y = mx
Equation: y = ⅖x
Let's convert the height of the fence, 90 inches, to centimetres:
To convert to cm, substitute y = 90 into y = ⅖x
Thus:
90 = ⅖*x
5*90 = 2x
450 = 2x
Divide both sides by 2
450/2 = x
225 = x
Height of the fence in cm = 225 cm