Final answer:
Mrs. Cable's total spending on tiles, paint, and ribbon can be represented by the linear equation: Total Cost = 1*t + 2.25*p + 1.75*r, where t, p, and r are the quantities of tiles, paint bottles, and spools of ribbon, respectively.
Step-by-step explanation:
To represent the total amount Mrs. Cable will spend on tiles, paint, and ribbon mathematically, we can write a linear equation. Let's define the variables first: let t be the number of tiles, p be the number of paint bottles, and r be the number of spools of ribbon Mrs. Cable buys. Each tile costs $1, each bottle of paint costs $2.25, and each spool of ribbon costs $1.75.
Using these variables, the equation to represent the total amount spent by Mrs. Cable is:
Total Cost = 1*t + 2.25*p + 1.75*r
Where:
- t = Number of tiles
- p = Number of paint bottles
- r = Number of spools of ribbon
Once we know the number of tiles, paint bottles, and ribbons Mrs. Cable purchases, we can plug those numbers into our equation to find the total cost.