The poetry club had its first bake sale, and they made $79.35. The club members are planning to have 4 more bake sales. Leslie said, "If we make the same amount at each bake sale, we’ll earn $3,967.50." Peggy said, "No way, Leslie! We’ll earn $396.75 after five bake sales." Use estimation to help Peggy explain why Leslie’s reasoning is inaccurate. Show your reasoning using words, numbers, or pictures.

Question

04-09-2019
Mathematics

contestada

The poetry club had its first bake sale, and they made $79.35. The club members are planning to have 4 more bake sales. Leslie said, "If we make the same amount at each bake sale, we’ll earn $3,967.50." Peggy said, "No way, Leslie! We’ll earn $396.75 after five bake sales." Use estimation to help Peggy explain why Leslie’s reasoning is inaccurate. Show your reasoning using words, numbers, or pictures.

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MrsTate MrsTate · Answer 1 · 2019-09-04T16:52:04+02:00

During its first bake sale, the poetry club made $79.35. If we round up to $80, this will make it easier to estimate how much they will make if they have 4 more bake sales (5 altogether). Next, we should use multiplication to determine how much money they will earn altogether after 5 bake sales. Five times $80 equals $400. Leslie accidentally multiplies by 50 because she moves the decimal one place too far.

Further Explanation

Estimation

Estimation is when you use an approximate calculation to make a prediction. It is important here to note that an estimation is different than guess. In both instances, one should use whatever knowledge is at their disposal; however, an estimation usually uses rounding and actual calculations.

Rounding

When making an estimation, rounding is an effective tool to use. Often numbers are rounded to the nearest whole number or place value. This can make it easier to do a quick calculation. In the word problem, the nearest whole number to 79.35 is 80. This makes it easier to multiply the dollar amount because there are fewer numbers to multiply.

Answer Details

Subject: Math

Level: middle school

Topic: Estimations

Keywords

estimation, rounding, multiplication

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Аноним Аноним · Answer 2 · 2019-11-16T18:15:40+01:00

According to Question,

In first bake sale, Poetry club earned $79.35

Leslie has made calculation that if they have 4 more bake sales, they earn $3967.5

whereas according to Peggy after 5 bake sales they earn $396.75

First Let's check How much they will earn after 5 bake sales

Amount earned in 1bake sale =$79.35

So,Amount they will earn in 10 bake sales = 10 × 79.35 = $793.5( Simply shift a decimal to right)

Obviously, In 4 bake sales Amount earn < $793.5

But According to leslie they will earn $3967.5 >$793.5

So, Leslie reasoning is inaccurate

For More information,

For 5 bake sales they earn exactly 50%of $793.5

= $396.75 as told by Peggy