A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in 46 minutes? In 1 hour?

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Step-by-step explanation:

The speed of the car in miles per minute is ...

  (2 1/2 miles)/(3 1/3 minutes) = (5/2)/(10/3) miles/minute

  = (5/10)(3/2) miles/minute = 3/4 miles/minute

Then in 46 minutes, the car will travel ...

  (3/4 miles/minute)(46 minutes) = (138/4) miles = 34 1/2 miles

The car will travel 34 1/2 miles in 46 minutes.

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In 60 minutes, the car will travel ...

  (3/4 miles/minute)(60 minutes) = 45 miles

The car will travel 45 miles in 1 hour.

Step-by-step explanation:

its a ratio and proportion:

2.5 miles =  x miles

3.33 min       46 min

3.33(x) = 2.5 (46)

x = 34.5 miles (in 46 min)

its a ratio and proportion:

2.5 miles =  x miles

3.33 min       60 min

3.33(x) = 2.5 (60)

x = 45 miles (in 1 hour)

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.