The use of a new traffic camera on a highway results in 12

Question

speeding tickets issued every 2
hours.

The relationship between h,
time elapsed in hours, and t,
number of tickets issued, is represented by the equation _[blank 1]_. Using this equation, you can determine that approximately 50
speeding tickets will be issued after _[blank 2]_ hours.

Select two answers: one for blank 1 and one for blank 2.

Responses

blank 1: th=16
blank 1: t over h is equal to 1 sixth

blank 1: ht=6
blank 1: h over t is equal to 6

blank 2: 736
blank 2: 7 and 3 sixths

blank 1: t=6h
blank 1: t is equal to 6 h

blank 2: 826
blank 2: 8 and 2 sixths

blank 2: 30
blank 2: 30

blank 2: 8
blank 2: 8

blank 1: ht=16

Answer 1

To determine the correct answers for the blanks, let's analyze the situation step by step:

1. The camera issues 12 speeding tickets every 2 hours. This means that in 1 hour, it issues 6 tickets (since 12 tickets / 2 hours = 6 tickets/hour).

2. To express the relationship between the number of tickets (t) and time in hours (h), we can use the equation: \[ t = 6h \] This indicates that the number of tickets issued (t) is equal to 6 times the number of hours (h).

So, for blank 1, the correct response is:

• blank 1: t=6h

3. Next, we need to find out how many hours it would take to issue approximately 50 tickets. Using the equation \( t = 6h \), we can set up the following: \[ 50 = 6h \] Solving for \( h \): \[ h = \frac{50}{6} \approx 8.33 \text{ hours} \] This is equivalent to 8 hours and 2/3 of an hour (since 0.33 hours is approximately 20 minutes).

Thus, for blank 2, the correct response is:

• blank 2: 8 and 2 sixths (which is equivalent to 8.33 hours)

Final answers:

• For blank 1: t=6h
• For blank 2: 8 and 2 sixths