Renting a pony costs $200 plus $40 per hour. Write an equation to represent the total cost, c, of renting a pony for h hours.

I need help writing the equation.

2 Answers
Apr 16, 2018

#c=40h+200#
or
#c=$40h+$200#

Explanation:

Let #c# be the cost of the pony and #h# the hours rented. This is a linear equation, so it takes the form #y=mx+b#, or in this case, #c=hx+b#, where #b# is the initial cost and #x# the hourly rate.
The initial cost, #b#, is #$200#, so the #b# term will be #200#.
The hourly rate, #x#, is #$40#, so the #x# term will be #40#.
Therefore, the equation will be #c=40h+200# or using dollars,
#c=$40h+$200#

Apr 16, 2018

#200 + 40h = c#

Explanation:

We know that #c# is the total cost and #h# is the number of hours renting a pony.

We know that no matter how many hours you rent a pony, you will have to pay #$200#, so that is a constant.

We also know that it is #$40# for every hour, so that becomes #40h#.

Finally, we set this to the total cost, #c#, so the equation becomes this:

#200 + 40h = c#

Hope this helps!