At the Wild Thing Zoo, you can rent a motorized cart to tour the grounds for a $4 initial charge and $4 per hour. An equation that represents the total cost y for x hours is y = 4 + 4x. At Safari Zoo, you can rent the same cart for a $3 initial charge and $5 per hour. An equation that represents the total cost y for x hours is y = 3 + 5x. For how many hours is the total charge the same?
set 4+4x = 3+5x
and solve for x
it is easy.
chicken
To find the number of hours for which the total charge is the same at both zoos, we need to set the two equations equal to each other and solve for x.
The equation for Wild Thing Zoo is y = 4 + 4x.
The equation for Safari Zoo is y = 3 + 5x.
Setting them equal to each other:
4 + 4x = 3 + 5x
Now, we can solve for x:
4x - 5x = 3 - 4
-x = -1
x = 1
So, the total charge is the same after 1 hour.
Therefore, for 1 hour the total charges are the same at both zoos.