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A membership at Jump-n-play costs $189 to join and $3 for a visit. A membership at Bounce World costs &125 to join $5 for each visit. Which location has a lower cost for different numbers of visits? Drag each number of possible visits to the correct box to show whether one location has a lower total cost, or the same total cost, as the other location.

Options: lower total cost at Jump-n-Play

Lower total cost at Bounce house

Same total cost at both locations

28, 40, 64, 8, 30, and 32

Sagot :

Using the given functions, it is found that:

  • Lower total cost at Jump-n-Play: 40, 64.
  • Lower total cost at Bounce house: 28, 8, 30.
  • Same total cost at both locations: 32.

What are the cost functions?

For n visits to Jump-n-play, the cost is:

J(n) = 189 + 3n.

For n visits to Bounce Word, the cost is:

B(n) = 125 + 5n.

Comparing them, we have that:

[tex]J(n) < B(n)[/tex]

[tex]189 + 3n < 125 + 5n[/tex]

[tex]64 < 2n[/tex]

[tex]n > 32[/tex]

Hence:

  • For less than 32 visits, the cost at Bounce World is lower.
  • For more than 32 visits, the cost at Jump-n-play is lower.

Hence:

  • Lower total cost at Jump-n-Play: 40, 64.
  • Lower total cost at Bounce house: 28, 8, 30.
  • Same total cost at both locations: 32.

More can be learned about functions at https://brainly.com/question/25537936

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