Sam is practicing long track speed skating at an ice skating rink. The distance around the rink is 250 yards. He has skated around the rink 5 times so far. How many more yards does he need to skate around the rink to complete 3 miles? Sam needs to skate more yards.

He needs to complete a distance of 4,030 yards around the rink to make a total skating distance of 3 miles

Step-by-step explanation:

In this question, we are asked to calculate the number of yards needed to complete 3 miles skating around a rink.

We proceed as follows;

First, we can see he has skated 5 times around a rink that has a distance of 250 yards. His total distance covered would be 250 * 5 = 1250 yards

Now he is looking at completing 3 miles, we need to know the number of yards in 3 miles.

Mathematically, 1 mile = 1760 yards

3 miles = 3 * 1760 = 5,280 yards

To know the number of yards he need to skate more, we simply carry out a subtraction;

5,280 yards - 1250 yards = 4,030 yards

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

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