The table shows conversions for common units of capacity. units of capacity customary system units metric system units 1 gallon 3.79 liters 1 quart 0.95 liters 1 pint 0.473 liters 1 cup 0.237 liters what is the conversion factor to convert cups to liters?

The conversion factor to convert cups to liters is 0.237

Step-by-step explanation:

Given : A table showing conversions for common units of capacity.

                                Units of  capacity  

 Customary System Units                             Metric System Units

          1 gallon                                                           3.79 liters

          1 quart                                                            0.95 liters

           1 pint                                                              0.473 liters

           1 cup                                                              0.237 liters

We have to find the  conversion factor to convert cups to liters.

Consider the given  table.

Since, given One cup is equal to 0.237 liters.

So , the conversion factor to convert cups to liters is 0.237

For example to convert 10 cups to liters, we can multiply the number of cups by 0.237 to get cups in liters.

That is 10 cup = 10 × 0.237 = 2.37 liters.

Thus, 10 cups is equal to 2.37 liters.

Hence, The conversion factor to convert cups to liters is 0.237

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.