Question

1. jayla purchased a brand new car for $36,500. the car is now worth $16,800. what is the percent decrease between the cars original price and its value now?problems 2-4: the table shows the price of a tablet in 2021 and in 2022.| year | price ($) || ---- | ---- || 2021 | 155 || 2022 | 128.65 |2. determine the percent decrease for the price of a tablet between 2021 and 2022.3. if the percent decrease continues for another year, what will the price of the tablet be in 2023?4. if the same percent decrease was true from 2020 to 2021, what was the price of a tablet in 2020?problems 5-6: ecuador and peru are neighboring countries in south america. here are their populations in 2005 and 2020.| year | ecuador | peru || ---- | ---- | ---- || 2005 | 13,770,000 | 28,147,000 || 2020 | 17,589,000 | 33,305,000 |5. circle the expression that could help you find the percent change in ecuadors population from 2005 to 2020.$\frac{17589}{13770}$$\frac{13770}{17589}$explain your thinking.6. if the population of peru had grown by the same percent as ecuador from 2005 to 2020, which would be true about perus population? circle one.greater than 33,305,000less than 33,305,000explain your thinking.

Explanation:

Step1: Calculate total decrease in value

$\$36,500 - \$16,800 = \$19,700$

Step2: Find percent decrease

$\text{Percent Decrease} = \frac{19700}{36500} \times 100\% \approx 53.97\%$

Step1: Calculate price decrease

$\$155 - \$128.65 = \$26.35$

Step2: Compute percent decrease

$\text{Percent Decrease} = \frac{26.35}{155} \times 100\% = 17\%$

Step1: Apply 17% decrease to 2022 price

First, find 17% of $\$128.65$: $0.17 \times 128.65 = 21.8705$

Step2: Subtract decrease from 2022 price

$\$128.65 - \$21.8705 = \$106.7795$

Step1: Define 2020 price as $x$

2021 price is 83% of 2020 price (100% - 17% = 83%), so:
$0.83x = 155$

Step2: Solve for $x$

$x = \frac{155}{0.83} \approx 186.75$

Answer:

Approximately 54% (or 53.97%)

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