Answer:
x + y ≥ 4
8x + 10y ≤ 70
Step-by-step explanation:
1. State the variables
According to the graph, "Number of green towels" is on the x-axis, and "Number of blue towels" is on the y-axis, so:
let x be the number of green towels.
let y be the number of blue towels
<u />
2. <u>Write an equation for the total number of towels</u>.
The sum of number of green towels and the number of blue towels is the total number of towels.
x + y ≥ 4
"She wants to buy at least 4 towels" means she needs 4 or more. Use the ≥ symbol instead of > (which would mean more than 4 towels, not only 4).
3. <u>Write an equation for the money</u> she will spend.
Multiply each variable by the cost of the towel colour. Add them together. Equate the total as 70 because she is only willing to spend 70.
8x + 10y ≤ 70
"She does not want to spend more than $70" means she is willing to spend 70, but no more. This is why we use ≤ and not < (which would mean she would not spend 70, only less than 70).
The equations are x + y ≥ 4 and 8x + 10y ≤ 70.
