Answer:
The constant of proportionality is the ratio between numbers that expresses the rate at which the numbers increase or decrease. These two numbers are directly proportional when they increase and decrease at the same rate.
Set it up as a proportion. 14.25 miles is to 90 minutes as x is to 120 minutes.
We have to solve with like units of measure, so we have to change the hours to minutes before we can set up the proportion.
60 minutes= 1 hour
120 minutes = 2 hours
x= miles in 2 hours
14.25/90 = x/120
cross multiply
(14.25 * 120)= (90 * x)
1710=90x
divide both sides by 90
19= x
You could ride 19 miles in 120 minutes, so you could ride 19 miles in 2 hours.
Did you need help on #2 also?
Hope this helps! :)
Answer:
proportional, k = -7/8
Step-by-step explanation:
since y=kx, k must be -7/8
Need more information or a graphic.
Answer:
x = 2
UV = 9 ft
VW = 6 ft
WU = 5 ft
Step-by-step explanation:
The perimeter of a figure can be represented as the sum of lengths of all of its sides. In this case we can write:
P = UV + VW + WU
Now, we can substitute the values which we have:
20 = 4x + 1 + 8 - x + 2x + 1
We can combine like terms...
20 = 5x + 10
5x = 10
x = 2
Since UV is represented by 4x + 1, we can substitute in x to find its length.
UV = 4x + 1
UV = 4(2) + 1
UV = 6 + 1
UV = 9
We can do the same for the other two sides:
VW = 8 - x
VW = 8 - 2
VW = 6
WU = 2x + 1
WU = 2(2) + 1
WU = 4 + 1
WU = 5
