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Question
A parking garage has 612 parking spaces on 4 levels. Each level has about the same number of parking spaces. Select all of the statements that are reasonable estimates for the number of parking spaces on each level.

(1 point)
Responses

75 parking spaces, because 612÷4
is about 600÷8

75 parking spaces, because 612 ÷ 4 is about 600 ÷ 8

100 parking spaces, because 612÷4
is about 400÷4

100 parking spaces, because 612 ÷ 4 is about 400 ÷ 4

130 parking spaces, because 612÷4
is about 650÷5

130 parking spaces, because 612 ÷ 4 is about 650 ÷ 5

150 parking spaces, because 612÷4
is about 600÷4

150 parking spaces, because 612 ÷ 4 is about 600 ÷ 4

200 parking spaces, because 612÷4
is about 600÷3

1 answer

To find a reasonable estimate for the number of parking spaces on each level of the parking garage, we first divide the total number of parking spaces (612) by the number of levels (4):

\[ 612 \div 4 = 153. \]

So, approximately 153 parking spaces are on each level. Now let's analyze the provided statements:

  1. 75 parking spaces, because 612 ÷ 4 is about 600 ÷ 8: This statement is not a reasonable estimate because 600 ÷ 8 is 75, and does not relate correctly to the original division.

  2. 100 parking spaces, because 612 ÷ 4 is about 400 ÷ 4: This statement is also not a reasonable estimate. 400 ÷ 4 is 100, which is incorrect in context.

  3. 130 parking spaces, because 612 ÷ 4 is about 650 ÷ 5: This statement is not a reasonable estimate since 650 ÷ 5 equals 130, but it similarly doesn't relate well to 612 ÷ 4.

  4. 150 parking spaces, because 612 ÷ 4 is about 600 ÷ 4: This is a reasonable estimate. 600 ÷ 4 is 150, which is somewhat close to the actual division.

  5. 200 parking spaces, because 612 ÷ 4 is about 600 ÷ 3: This statement suggests that 600 ÷ 3 equals 200, which would not be an accurate estimate given the original division.

The reasonable estimates are:

  • 150 parking spaces, because 612 ÷ 4 is about 600 ÷ 4.

Thus, this is the only correct response from the options given.