An antelope can run a speed of 61 miles per hour. what is this speed in yards per second? round to the nearest hundredth

= 29.82 yards/second

Step-by-step explanation:

The speed is given in the problem.  We just need to convert its units.  The multiplicative identity (that is, 1) may be used to change the units without changing the value.  (note:  do you know what the additive identity is?)

     61 miles per hour

    (61 miles) / (1 hour)

   (61 miles)/(1 hour)*1

   ((61 miles)/(1 hour))*((5280 feet)/(1 mile))

   ((61 miles)/(1 hour))*((5280 feet)/(1 mile))*((1 yard)/(3 feet))*((1 hour)/(60 minutes))*((1 minute)/(60 seconds))

      note:  miles, feet, hours, minutes cancel out; leaving yards per second

    (61/1)*(5280/1)*(1/3)*(1/60)*(1/60)   yards/second          (note: I write that way to paste into Excel)

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.