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Chapter 2: Q3. (page 145)

Solve each equation. Check your solutions.

x-5=-11

Short Answer

Expert verified

Thex=鈭�6 is the solution of the given equation.

Step by step solution

01

Step 1. Given information.

We have an equation x-5=-11.

To find the solution of the given equation and check the solution.

02

Step 2. Calculation.

Solving the given equation:

x鈭�5=鈭�11鈬�x=鈭�11+5鈬�x=鈭�6

03

Step 3. Check the Solution.

We substitute thex=鈭�6 in the given equation.

x鈭�5=鈭�11鈬�鈭�6鈭�5=鈭�11鈬�鈭�11=鈭�11

L.H.S. = R.H.S

Hence, thex=鈭�6 is the solution of the given equation.

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An amusement park offers a yearly membership of \(275 that allows for free parking and admission to the park. Members can also use the water park for an additional \)5 per day. Nonmember pay \(6 for parking, \)15 for admission, and $9 for the water park.

  1. Write and solve an equation to find the number of visits it would take for the total cost to be the same for a member and a nonmember if they both use the water park at each visit.
  2. Make a table for the costs of members and nonmembers after 3, 6, 9, 12, and 15 visits to the park.
  3. Plot these point on a coordinate graph and describe things you notice from the graph.
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