Question

Jenna gives away 96 flyers over a 4-hour period. If the number of flyers she is able to give away per hour remains the same, which proportion can be used to find x, the number of flyers that she would give away over a 7-hour period?

a) 96/4 = x/7

b) 96/7 = x/4

c) 4/96 = 7/x

d) 7/96 = 4/x

Answer 1

The correct proportion to find the number of flyers Jenna would give away over a 7-hour period is 96:4 as to x:7. By solving the equation 96/4 = x/7, we calculate that Jenna would give away 168 flyers in 7 hours.

Step-by-step explanation:

To find x, the number of flyers Jenna would give away over a 7-hour period, given that she gives away 96 flyers over a 4-hour period, we need to set up a proportion where the rates of flyers given per hour are equivalent.

The correct proportion is a) 96/4 = x/7 because it compares the number of flyers given in a certain number of hours. This indicates that Jenna gives out flyers at a constant rate, which we can calculate by dividing the number of flyers by the number of hours, so 96 flyers in 4 hours should be equivalent to x flyers in 7 hours.

To solve for x, you multiply across the diagonal:

1. 96 × 7 = 4 × x
2. 672 = 4x
3. x = 672 / 4
4. x = 168

So, Jenna would be expected to give away 168 flyers over a 7-hour period.