Riding an exercise bike at a certain setting, a person can burn 60 calories in 18 minutes, and can burn 90 calories in 27 minutes. . a) What is the value for the constant amount of change (the slope)? Round answer to 2 decimal places as needed. . b) What are the units for the constant amount of change (slope)? . c) Write an equation using calories as the dependent (output, y) variable and minutes as the input, x - variable. Do not use any spaces in your equation. . d) If a person rides the bike for 40 minutes, how many calories (y-value) are burned? calories Round answer to 2 decimal places as needed. . e) If a person wants to burn 150 calories, how long (x-value) do they have to ride the bike? minutes Round answer to 2 decimal places as needed.
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.
Riding an exercise bike at a certain setting, a person can burn 60 calories in 18 minutes, and can burn 90 calories in 27 minutes.
.
a) What is the value for the constant amount of change (the slope)?
Round answer to 2 decimal places as needed.
.
b) What are the units for the constant amount of change (slope)?
.
c) Write an equation using calories as the dependent (output, y) variable and minutes as the input, x - variable.
Do not use any spaces in your equation.
.
d) If a person rides the bike for 40 minutes, how many calories (y-value) are burned? calories
Round answer to 2 decimal places as needed.
.
e) If a person wants to burn 150 calories, how long (x-value) do they have to ride the bike? minutes
Round answer to 2 decimal places as needed.
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