SOLUTION: After six weeks of participating in a fitness program, Joyce jogs 40 miles per week. Her average mile gain has been 2 miles per week. Write an equation that models Joyce's weekly m

Algebra ->  Equations -> SOLUTION: After six weeks of participating in a fitness program, Joyce jogs 40 miles per week. Her average mile gain has been 2 miles per week. Write an equation that models Joyce's weekly m      Log On


   



Question 1005085: After six weeks of participating in a fitness program, Joyce jogs 40 miles per week. Her average mile gain has been 2 miles per week. Write an equation that models Joyce's weekly mileage "m" in terms of the number of weeks "w" that she stays in the program. When will Joyce jog over 60 miles?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +b+ = miles that she jogged the 1st week
+m+=+f%28w%29+ is the function
+m+=+2w+%2B+b+ is the equation
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You are given that +40+=+f%286%29+
+40+=+2%2A6+%2B+b+
+40+=+12+%2B+b+
+b+=+28+
She jogged 28 mi the 1st week
The equation is:
+m+=+2w+%2B+28+
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+m+=+60+ mi
+60+=+2w+%2B+28+
+2w+=+32+
+w+=+16+
After the 16th week she will jog over 60 mi
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Here's the plot:
+graph%28+600%2C+400%2C+-2%2C+20%2C+-10%2C+70%2C+2x+%2B+28+%29+