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How many swimming lessons?











































Equation to represent the cost

Ms. Hall's son took swim lessons this summer. The pool fee is $25 and each lesson cost $10.

a. Write an equation to represent the cost, y, based on the number of lessons, x.

b. How many lessons did her son take if she paid 145?

Comments for How many swimming lessons?

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Dec 17, 2012
Equation
by: Staff


Answer


a. Write an equation to represent the cost, y, based on the number of lessons, x.

y = cost

x = number of lessons

The pool fee is $25 and each lesson cost $10.

y = (pool fee) + ($10 per lesson)*(number of lessons)

y = 25 + 10 * x

y = 10x + 25


Final Equation:

y = 10x + 25



Math – graph of  cost of swimming lessons over time





b. How many lessons did her son take if she paid 145?

y = 10x + 25

y must equal 145


substitute 145 for y, and then solve for x

y = 10x + 25

145 = 10x + 25

10x + 25 = 145



Subtract 25 from each side of the equation

10x + 25 = 145

10x + 25 - 25= 145 - 25

10x + 0 = 145 - 25

10x = 145 - 25

10x = 120


Divide each side of the equation by 10

10x / 10 = 120 / 10

x * (10 / 10) = 120 / 10

x * (1) = 120 / 10

x = 120 / 10

x = 12


Number of Lessons:

x = 12 lessons







Thanks for writing.

Staff
www.solving-math-problems.com



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