Transcript 2.6 – Ratios & Proportions

2.6 – Ratios & Proportions
Ex. 1 Determine whether each pair of ratios are
equivalent ratios.
a) 2 , 8
3.5 14
Ex. 1 Determine whether each pair of ratios are
equivalent ratios.
a) 2 , 8
*Set them equal to each
3.5 14
other & cross multiply.
Ex. 1 Determine whether each pair of ratios are
equivalent ratios.
a) 2 , 8
*Set them equal to each
3.5 14
other & cross multiply.
2 = 8
3.5 14
Ex. 1 Determine whether each pair of ratios are
equivalent ratios.
a) 2 , 8
*Set them equal to each
3.5 14
other & cross multiply.
2 = 8
3.5 14
Ex. 1 Determine whether each pair of ratios are
equivalent ratios.
a) 2 , 8
*Set them equal to each
3.5 14
other & cross multiply.
2 = 8
3.5 14
28
Ex. 1 Determine whether each pair of ratios are
equivalent ratios.
a) 2 , 8
*Set them equal to each
3.5 14
other & cross multiply.
2 = 8
3.5 14
28 =
Ex. 1 Determine whether each pair of ratios are
equivalent ratios.
a) 2 , 8
*Set them equal to each
3.5 14
other & cross multiply.
2 = 8
3.5 14
28 = 28
Ex. 1 Determine whether each pair of ratios are
equivalent ratios.
a) 2 , 8
*Set them equal to each
3.5 14
other & cross multiply.
2 = 8
3.5 14
28 = 28
This is true, so they are
equivalent ratios.
Ex. 1 Determine whether each pair of ratios are
equivalent ratios.
b) 15 , 35
*Set them equal to each
36 42
other & cross multiply.
Ex. 1 Determine whether each pair of ratios are
equivalent ratios.
b) 15 , 35
*Set them equal to each
36 42
other & cross multiply.
15 = 35
36 42
1260 = 630
This is false, so they are
not equivalent ratios.
Ex. 2 Solve each proportion. If necessary, round
to the nearest hundredth.
a) x = 3
10 5
Ex. 2 Solve each proportion. If necessary, round
to the nearest hundredth.
a) x = 3
*Cross Multiply
10 5
Ex. 2 Solve each proportion. If necessary, round
to the nearest hundredth.
a) x = 3
*Cross Multiply
10 5
Ex. 2 Solve each proportion. If necessary, round
to the nearest hundredth.
a) x = 3
*Cross Multiply
10 5
30 = 5x
Ex. 2 Solve each proportion. If necessary, round
to the nearest hundredth.
a) x = 3
*Cross Multiply
10 5
30 = 5x
30 = 5x
Ex. 2 Solve each proportion. If necessary, round
to the nearest hundredth.
a) x = 3
*Cross Multiply
10 5
30 = 5x
30 = 5x
5 5
Ex. 2 Solve each proportion. If necessary, round
to the nearest hundredth.
a) x = 3
*Cross Multiply
10 5
30 = 5x
30 = 5x
5 5
6=x
Ex. 2 Solve each proportion. If necessary, round
to the nearest hundredth.
b) (x + 4) = 3
5
8
Ex. 2 Solve each proportion. If necessary, round
to the nearest hundredth.
b) (x + 4) = 3
*Cross Multiply
5
8
15 = 8(x + 4)
15 = 8x + 32
-32
- 32
-17 = 8x
8 8
-2.13 = x