Question

At Fumiko's Fish Market, it costs $54 for 12 kilograms of tuna. At this rate, how much does it cost for 2 kilograms of tuna?
(a) Let C be the unknown cost of tuna (in dollars). Using the values below, create a proportion that can be used to find C.
Values:

_____ _____

(b) Use the proportion from part (a) to find the cost of 2 kilograms of tuna. Do not round any computations.
GPT 3.5
(a) Let C be the unknown cost of tuna (in dollars). Using the values given, the proportion can be set up as:

12 kg / $54 = 2 kg / C

(b) To find the cost of 2 kilograms of tuna using the proportion above, we can cross-multiply and solve for C:

12 kg * C = 2 kg * $54

12C = $108

Dividing both sides of the equation by 12:

C = $9

Therefore, the cost of 2 kilograms of tuna is $9.
Suppose a satellite orbiting Earth travels 70 kilometers in 8 seconds. At this rate, how far does it travel in 40 seconds?
(a) Let d be the unknown distance the satellite travels (in kilometers). Using the values below, create a proportion that can be used to find d.
Values: d , 70 , 8 , 40

_____ _____
(b) Use the proportion from part (a) to find the distance the satellite travels in 40 seconds. Do not round any computations.
GPT 3.5
(a) Let d be the unknown distance the satellite travels (in kilometers). Using the values given, the proportion can be set up as:

70 km / 8 sec = d km / 40 sec

(b) To find the distance the satellite travels in 40 seconds using the proportion above, we can cross-multiply and solve for d:

70 km * 40 sec = 8 sec * d km

2800 km-sec = 8d km-sec

Dividing both sides of the equation by 8 sec:

350 km = d km

Therefore, the satellite travels a distance of 350 kilometers in 40 seconds.
A crew is building a sidewalk. It can build a length of 3 kilometers in 5 days. At this rate, how much time would it take it to build 24 kilometers of sidewalk?
(a) Let t be the unknown amount of time it would take the crew (in days). Using the values below, create a proportion that can be used to find t.
Values: t , 3 , 5, 24

_____ _____
(b) Use the proportion from part (a) to find the time it would take the crew to build 24 kilometers of sidewalk. Do not round any computations.
GPT 3.5
(a) Let t be the unknown amount of time it would take the crew (in days). Using the values given, the proportion can be set up as:

3 km / 5 days = 24 km / t days

(b) To find the time it would take the crew to build 24 kilometers of sidewalk using the proportion above, we can cross-multiply and solve for t:

3 km * t days = 24 km * 5 days

3t = 120

Dividing both sides of the equation by 3:

t = 40

Therefore, it would take the crew 40 days to build 24 kilometers of sidewalk.

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