Please help

The following table shows the number of calories burned per hour (cal/h) for a variety of activities, where the figures are based on a 150-pound person.
Bicycling 6mi/h 240 Running 10mi/h 1280
Bicycling 12mi/h 410
Swimming 25yd/min 275
Cross-country skiing 700
Swimming 50yd/min 500
Jogging 5 ½ mi/h 740
Jogging 7 mi/h 920
Jumping rope 750
Walking 2mi/h 240
Walking 3mi/h 320
Running in place 650
Walking 4 ½ mi/h 440

For problems 1 through 4, assume a 150-pound person

1.If a person jogs at a rate of 5 ½ mi/h for 3 ½ h in a week, how many calories do they burn?
2.If a person runs in place for 15 minutes, how many calories will be burn?
3.If a person cross-country skis for 15 minutes, how many calories will be burn?
4.How many hours would a person have jump rope in order to lose 1 pound? (Assume calories consumption is just enough to maintain weight, with no activity)
Heavier people burn more calories (for the same activity) and lighter people burn fewer. In fact, you can calculate similar figures for burning calories by setting up the appropriate proportion.
5.At what rate would 120-pound person burn calories while bicycling at 12mi/h?
6.At what rate would a 180-pound person burn calories while bicycling at 12mi/h?
7.How many hours of jogging at 5 ½ mi/h would be needed for a 200- pound person lose 5 pounds? (Assume calories consumption is just enough to maintain weight, with no activity)

Your provided table is not complete. There is also no question.

i need help with ratios in math

1. To find the number of calories burned by a person who jogs at a rate of 5 ½ mi/h for 3 ½ h in a week, you need to multiply the rate of calorie burn per hour by the number of hours.

Looking at the table, the rate of calorie burn for jogging at 5 ½ mi/h is 740 cal/h.

Therefore, the calculation to find the number of calories burned would be:
Calories burned = Rate of calorie burn per hour x Number of hours
= 740 cal/h x 3.5 h
= 2590 calories

So, a person who jogs at a rate of 5 ½ mi/h for 3 ½ h in a week would burn 2590 calories.

2. To find the number of calories burned by a person who runs in place for 15 minutes, you need to convert the time from minutes to hours and then multiply it by the rate of calorie burn per hour.

15 minutes is equivalent to 0.25 hours.

Looking at the table, the rate of calorie burn for running in place is 650 cal/h.

Therefore, the calculation to find the number of calories burned would be:
Calories burned = Rate of calorie burn per hour x Number of hours
= 650 cal/h x 0.25 h
= 162.5 calories

So, a person who runs in place for 15 minutes would burn 162.5 calories.

3. To find the number of calories burned by a person who cross-country skis for 15 minutes, you need to convert the time from minutes to hours and then multiply it by the rate of calorie burn per hour.

15 minutes is equivalent to 0.25 hours.

Looking at the table, the rate of calorie burn for cross-country skiing is 700 cal/h.

Therefore, the calculation to find the number of calories burned would be:
Calories burned = Rate of calorie burn per hour x Number of hours
= 700 cal/h x 0.25 h
= 175 calories

So, a person who cross-country skis for 15 minutes would burn 175 calories.

4. To find the number of hours a person would have to jump rope in order to lose 1 pound, you need to divide the number of calories in 1 pound by the rate of calorie burn per hour for jumping rope.

Looking at the table, the rate of calorie burn for jumping rope is 750 cal/h.

There are approximately 3500 calories in 1 pound.

Therefore, the calculation to find the number of hours needed would be:
Number of hours = Calories needed to lose 1 pound / Rate of calorie burn per hour
= 3500 calories / 750 cal/h
= 4.67 hours

So, a person would have to jump rope for approximately 4.67 hours in order to lose 1 pound.

I will now answer questions 5, 6, and 7.

5. To find the rate at which a 120-pound person would burn calories while bicycling at 12mi/h, you can set up a proportion using the rates of calorie burn for a 150-pound person and a 120-pound person.

Rate of calorie burn for a 150-pound person bicycling at 12mi/h = 410 cal/h.
Rate of calorie burn for a 120-pound person bicycling at 12mi/h = Unknown (let's say x cal/h).

Proportion: (Rate for 150-pound person / Rate for 120-pound person) = (Weight of 150-pound person / Weight of 120-pound person)

Solving for x, we have:
(410 cal/h / x cal/h) = (150 lb / 120 lb)

Cross-multiply and solve for x:
410 * 120 = x * 150
x = (410 * 120) / 150
x = 328 cal/h

Therefore, a 120-pound person would burn calories at a rate of approximately 328 cal/h while bicycling at 12mi/h.

6. To find the rate at which a 180-pound person would burn calories while bicycling at 12mi/h, you can set up a proportion using the rates of calorie burn for a 150-pound person and a 180-pound person.

Rate of calorie burn for a 150-pound person bicycling at 12mi/h = 410 cal/h.
Rate of calorie burn for a 180-pound person bicycling at 12mi/h = Unknown (let's say y cal/h).

Proportion: (Rate for 150-pound person / Rate for 180-pound person) = (Weight of 150-pound person / Weight of 180-pound person)

Solving for y, we have:
(410 cal/h / y cal/h) = (150 lb / 180 lb)

Cross-multiply and solve for y:
410 * 180 = y * 150
y = (410 * 180) / 150
y = 492 cal/h

Therefore, a 180-pound person would burn calories at a rate of approximately 492 cal/h while bicycling at 12mi/h.

7. To find the number of hours of jogging at 5 ½ mi/h needed for a 200-pound person to lose 5 pounds, you need to know the rate of calorie burn per hour for jogging and the number of calories needed to lose 1 pound.

Looking at the table, the rate of calorie burn for jogging at 5 ½ mi/h is 740 cal/h.

There are approximately 3500 calories in 1 pound.

Therefore, the calculation to find the number of hours needed would be:
Number of hours = (Calories needed to lose 1 pound x Number of pounds to lose) / Rate of calorie burn per hour
= (3500 calories x 5 pounds) / 740 cal/h
= 23.65 hours

So, a 200-pound person would need to jog for approximately 23.65 hours at 5 ½ mi/h in order to lose 5 pounds.