Math / Numbers & Operations

QuestionThe table shows the price of a tablet in 2021 and in 2022. \begin{tabular}{|c|c|} \hline Year & Price (\$) \\ \hline 2021 & 155 \\ \hline 2022 & 128.65 \\ \hline \end{tabular}
You determined that the percent decrease from 2021 to 2022 was $17 \%$ .
If the percent decrease continues for another year. what will the price of the table be in 2023? submit

Studdy Solution

STEP 1

What is this asking? If a tablet's price drops by a certain percentage each year, and we know the price in 2022 after a drop, what will the price be in 2023 after another drop at the same rate? Watch out! Don't forget that the decrease is a percentage, not a fixed amount!
So, each year, a different amount is subtracted from the price.

STEP 2

1. Calculate the multiplier.
2. Apply the multiplier to the 2022 price.

STEP 3

A 17% decrease means we're left with $100\% - 17\% = 83\%$ of the original value.

STEP 4

To use this percentage in a calculation, we convert it to a decimal by dividing by 100: $83\% = \frac{83}{100} = 0.83$ .
This is our multiplier!

STEP 5

We take the 2022 price of $\$128.65$ and multiply it by our multiplier, $0.83$ , to find the 2023 price.

STEP 6

$128.65 \cdot 0.83 = 106.7595$

STEP 7

Since we're dealing with money, we round to the nearest cent, giving us $\$106.76$ .

STEP 8

The price of the tablet in 2023 will be $\$106.76$ .

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Studdy Solution

STEP 1

STEP 2

1. Calculate the multiplier.
2. Apply the multiplier to the 2022 price.

STEP 3

A 17% decrease means we're left with $100\% - 17\% = 83\%$ of the original value.

STEP 4

To use this percentage in a calculation, we convert it to a decimal by dividing by 100: $83\% = \frac{83}{100} = 0.83$ .
This is our multiplier!

STEP 5

We take the 2022 price of $\$128.65$ and multiply it by our multiplier, $0.83$ , to find the 2023 price.

STEP 6

$128.65 \cdot 0.83 = 106.7595$

STEP 7

Since we're dealing with money, we round to the nearest cent, giving us $\$106.76$ .

STEP 8

The price of the tablet in 2023 will be $\$106.76$ .

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Studdy Solution

STEP 1

STEP 2

1. Calculate the multiplier.2. Apply the multiplier to the 2022 price.

STEP 3

A **17% decrease** means we're left with 100%−17%=83%100\% - 17\% = 83\%100%−17%=83% of the original value.

STEP 4

To use this percentage in a calculation, we **convert it to a decimal** by dividing by 100: 83%=83100=0.8383\% = \frac{83}{100} = 0.8383%=10083​=0.83.This is our **multiplier**!

STEP 5

We take the **2022 price** of $128.65\$128.65$128.65 and multiply it by our **multiplier**, 0.830.830.83, to find the **2023 price**.

STEP 6

128.65⋅0.83=106.7595 128.65 \cdot 0.83 = 106.7595 128.65⋅0.83=106.7595

STEP 7

Since we're dealing with money, we round to the nearest cent, giving us $106.76\$106.76$106.76.

STEP 8

The price of the tablet in 2023 will be $106.76\$106.76$106.76.

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1. Calculate the multiplier.
2. Apply the multiplier to the 2022 price.

A 17% decrease means we're left with $100\% - 17\% = 83\%$ of the original value.

To use this percentage in a calculation, we convert it to a decimal by dividing by 100: $83\% = \frac{83}{100} = 0.83$ .
This is our multiplier!

We take the 2022 price of $\$128.65$ and multiply it by our multiplier, $0.83$ , to find the 2023 price.

$128.65 \cdot 0.83 = 106.7595$

Since we're dealing with money, we round to the nearest cent, giving us $\$106.76$ .

The price of the tablet in 2023 will be $\$106.76$ .