a Write an equation for the cost of each studio and then set them equal to one another.
B
b What does it mean if the hourly rate is the same for both studios?
A
a 3 hours
B
b The total costs will never be the same. See solution.
Practice makes perfect
a To find after how many hours the cost of the studios will be the same, we need to write an equation for the cost of each studio and then set them equal to one another. Studio A has a flat fee of $10 for the vase and then costs $8 per hour h.
A=10+8h
Studio B has a flat fee of $16 for the vase and then costs $6 per hour h.
B=16+6h
Now we can find when the costs at Studio A equal the costs at Studio B.
There is no solution. This makes sense if we think about it even without using equations. The vase costs $6 more at Studio B than at Studio A. If the hourly rates are the exact same, Studio B will always be more expensive.
