Sebastian swam laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. At that time, he swam 1,800 laps. What was his average rate in laps per hour?

The answer is he swam 40 laps per hour.

Step-by-step explanation:

The first thing we need to do is figure out how many total hours he swam for the 12 weeks.  To do this we will first multiply 45 minutes times 5 days a week to get the total minutes for the week.  45 X 5 = 225 total minutes for the week.  Let's figure out how many hours that is per week.  225 divided by 60 (min per hour) gives us 3.75 hours per week he swims.  They are asking about 12 weeks.  We need to multiply the 3.75 times 12 weeks.  That equals 45 hours total for 12 weeks.  Now we need to divide the 1800 laps by the 45 hours to get how many laps per hour.  1800 divided by 45 is 40.  So, the answer is Sebastian swam 40 laps per hour in that 12-week period.  

answer: c i think

step-by-step explanation:

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.