The unit rate will be in revolutions per second. That means divide number of revolutions by number of seconds.
first convert from mixed fraction.
6 2/5 = 32/5 revolutions
2 2/3 = 8/3 seconds
32/5 ÷ 8/3
flip multiply
32/5 × 3/8 = 12/5 revolutions per second
12/5 = 2 2/5 revolutions per second
a constant of proportionality is a number you have to multiply x by to get y.
y=kx is the equation that expresses the proportionality of x and y
in this case, 10 video games cost $145
the question's basically asking what you have to multiply 10 by to get 145
y= 145; x=10
k= y/x = 145/10=14.5
the constant of proportionality is 14.5
The X values are graphed horizontally, while the Y values are graphed vertically.
We have the following given
mileage = 70 miles per gallon
distance = 60 km
Required: amount of fuel in gallons
First, we must convert the distance to miles, so
60 km (1 mi/1.6 km) = 37.5 mi
So, the amount of fuel is
37.5 mi / (70 mi/gal) = 0.54 gallons
