Jiah is building birdhouses. It takes her 5.5 hours to build 4 birdhou...
To determine the equivalent rate, we need to compare the number of birdhouses built to the amount of time it takes to build them.
Jiah takes 5.5 hours to build 4 birdhouses.
To find the equivalent rate, we can set up a proportion:
5.5 hours / 4 birdhouses = x hours / y birdhouses
Let's analyze each option to see which one is equivalent to the given rate:
a) 14 hours to build 18 birdhouses
To check if this is an equivalent rate, we can set up a proportion:
5.5 hours / 4 birdhouses = 14 hours / 18 birdhouses
Cross-multiplying, we get:
5.5 * 18 = 4 * 14
99 ≠ 56
Therefore, option 'a' is not an equivalent rate.
b) 28 hours to build 35 birdhouses
Setting up a proportion:
5.5 hours / 4 birdhouses = 28 hours / 35 birdhouses
Cross-multiplying, we get:
5.5 * 35 = 4 * 28
192.5 ≠ 112
Therefore, option 'b' is not an equivalent rate.
c) 11 hours to build 8 birdhouses
Setting up a proportion:
5.5 hours / 4 birdhouses = 11 hours / 8 birdhouses
Cross-multiplying, we get:
5.5 * 8 = 4 * 11
44 = 44
Therefore, option 'c' is an equivalent rate.
d) 22 hours to build 28 birdhouses
Setting up a proportion:
5.5 hours / 4 birdhouses = 22 hours / 28 birdhouses
Cross-multiplying, we get:
5.5 * 28 = 4 * 22
154 ≠ 88
Therefore, option 'd' is not an equivalent rate.
Therefore, the correct answer is option 'c', which states that it would take Jiah 11 hours to build 8 birdhouses.
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