You are training twice a week for a race on Monday you go for miles in 40 minutes then on Wednesday you go 2 miles and 16 minutes right and equation where y is the number of miles and s is the time and minutes for the day you ran the fast for the week one point
To create an equation based on the given information, we can use the formula for speed: Speed = Distance / Time.
Let's denote the number of miles run on Monday as y₁ and the time taken as s₁, and the number of miles run on Wednesday as y₂ and the time taken as s₂.
Based on the given information:
- On Monday, you ran y₁ miles in 40 minutes, so the speed for that day would be: y₁/40.
- On Wednesday, you ran 2 miles in 16 minutes, so the speed for that day would be: 2/16 = 1/8.
Since we are given that the Wednesday run was the fastest for the week, we can set up the equation:
Speed on Monday ≤ Speed on Wednesday
Therefore, we can write the equation:
y₁/40 ≤ (2/16)
Simplifying the equation, we have:
y₁/40 ≤ 1/8
To remove fractions, we can multiply both sides of the equation by 40, and then 8, which gives us:
8y₁ ≤ 40
y₁ ≤ 5
So, the equation representing the given condition is:
y ≤ 5, where y represents the number of miles run on Monday.