Question

An adult pass at the amusement park costs $1.6$ times as much as a child's pass. a. How many dollars does an adult pass cost if a child's pass costs: \$5? \$10? $w$ b. A child's pass costs $\ 15 .$ How many dollars does an adult pass cost?

Name: Problem 5, Chapter 6: Grade 6 Mathematics: Open Up Resources, Common Core State Standards Edition
Uploaded: 2022-01-26T19:13:33-08:00
Duration: 2 min 3 s
Channel: Teresa Fuston
Description: An adult pass at the amusement park costs 1.6 times as much as a child's pass. a. How many dollars does an adult pass cost if a child's pass costs: ? 0? w b. A child's pass costs 15 . How many dollars does an adult pass cost?

   An adult pass at the amusement park costs $1.6$ times as much as a child's pass.
a. How many dollars does an adult pass cost if a child's pass costs:
\$5?
\$10?
$w$
b. A child's pass costs $\ 15 .$ How many dollars does an adult pass cost?

Grade 6 Mathematics: Open Up Resources, Common Core State Standards Edition

N/A 6th Edition

Chapter 6, Problem 5

Instant Answer

Solved by Expert Teresa Fuston

01/26/2022

Step 1

6 times the cost of a child's pass. So, we can write this relationship as an equation: \[A = 1.6C\] where A is the cost of an adult pass and C is the cost of a child's pass. Show more…

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An adult pass at the amusement park costs $1.6$ times as much as a child's pass. a. How many dollars does an adult pass cost if a child's pass costs: \$5? \$10? $w$ b. A child's pass costs $\ 15 .$ How many dollars does an adult pass cost?

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Key Concepts

Algebraic Expressions

Using algebraic expressions allows you to represent relationships in a generalized way. By letting a variable represent the child’s pass cost, you can express the adult's pass cost as a function of that variable (1.6 times the variable), which can then be applied to any numerical value.

Scalar Multiplication

Scalar multiplication refers to multiplying a quantity by a constant factor. Here, you multiply the child's pass price by 1.6 to determine the adult pass cost, which is a straightforward application of scaling a value by a constant.

Proportional Reasoning

This concept involves understanding that one quantity is a constant multiple of another. In this problem, the adult pass is charged at 1.6 times the cost of the child pass, illustrating that the relationship between the two prices is directly proportional.

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