The equation to represent the proportional relationship between y, the total cost of the toys, and x, the number of toys is y = 12.99x
Solution:
Given, Mrs. Smith ordered 4 toys for her daughter’s birthday party.
The total cost of the toys not including delivery or tax was $51.96.
Each toy costs the same amount.
We have to write an equation to represent the proportional relationship between y, the total cost of the toys, and x, the number of toys
Now, we know that, total cost of toys = number of toys bought x cost of each toys
y = x
cost of each toy
We know that x = 4 toys and their cost is y = 51.96
So substitute above values in the equation
51.96 = 4 x cost of each toy
cost of each toy = 12.99
Then, the equation is modified as y = 12.99x.
Hence, the equation is y = 12.99x