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7. caasi has money in a savings account that grows 1.5% every year. wri…

Question

  1. caasi has money in a savings account that grows 1.5% every year. write an equation to represent the money in caasis account as it grows from one year to the next. use $x$ for this years amount and $y$ for next years amount.

spiral review

  1. write a situation that matches this diagram.

weight of polar bear (kg)
% of weight

  1. sahana gets charged $59 at a salon and wants to pay using a credit card. the salon charges a 3% fee for using a credit card. what is the total amount that will be charged to sahanas card?
  2. a phone keeps track of the number of steps a person has taken and the distance traveled. does the information in the table show a proportional relationship between the two quantities? show or explain your thinking.
number of stepsdistance (km)
4,6543.3
6,7955.1

Explanation:

Response
Question 7

Step1: Convert growth rate to decimal

$1.5\% = \frac{1.5}{100} = 0.015$

Step2: Calculate total multiplier

$1 + 0.015 = 1.015$

Step3: Relate this year to next year

Next year's amount = This year's amount × multiplier

Brief Explanations

The diagram shows two number lines: one for polar bear weight (0-700 kg) and one for a percentage of that weight (0-140%). A matching situation would describe finding a percentage of a polar bear's total weight, like the weight of food it eats relative to its body weight.

Step1: Calculate credit card fee amount

$\text{Fee} = 59 \times 0.03 = 1.77$

Step2: Add fee to original charge

$\text{Total amount} = 59 + 1.77$

Answer:

$y = 1.015x$

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Question 8