Answer :
Emily's painting rate can be represented by the linear equation S=6.4t, where S indicates the square footage she paints and t represents time in minutes.
The number of square feet Emily can paint in a given time can be represented as a linear equation of two variables based on the information given, namely, time (t) and square footage (S).
Since Emily has a constant rate, you'll use the rate*time=distance formula, or in this case, rate*time=square footage. Given that Emily can paint 32 square feet in 5 minutes, we can first calculate her rate by dividing 32 sq ft by 5 mins which gives us a rate of 6.4 sq ft/min.
So, if you put this into a linear equation in two variables, S and t, your equation will look like this: S=6.4t.
In this equation, 'S' represents the number of square feet Emily can paint, and 't' represents the time taken in minutes. By substituting a given 't' into the equation, you can determine how many square feet Emily can paint in that amount of time.
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