Elena bikes 20 minutes each day for exercise. Write an equation to describe the relationship between her distance in miles, and her biking speed, in miles per hour, when she bikes: at a constant speed of 13 miles per hour for the entire 20 minutes at a constant speed of 15 miles per hour for the first 5 minutes, then at 12 miles per hour for the last 15 minutes at a constant speed of miles per hour for the first 5 minutes, then at miles per hour for the last 15 minutes
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Elena bikes 20 minutes each day for exercise.
Write an equation to describe the relationship between her distance in miles, and her biking speed, in miles per hour, when she bikes:
- at a constant speed of 13 miles per hour for the entire 20 minutes
- at a constant speed of 15 miles per hour for the first 5 minutes, then at 12 miles per hour for the last 15 minutes
- at a constant speed of miles per hour for the first 5 minutes, then at miles per hour for the last 15 minutes
Answer
Given, Elena bikes 20 minutes each day for exercise.
We have to write an equation to describe the relationship between her distance in miles and her biking speed in miles per hour.
1. At a constant speed of 13 miles per hour for the entire 20 minutes.
Here speed = 13 miles per hour
Time= 20 minutes
We know Distance (D) = speedtime
Therefore, distance (D) = 13 mile per hourhours
= 13
= 4.34 miles approximately
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