Question

During harvesting season at Florida Blue Farms, hand pickers
collect about 200 pounds of blueberries per day with a 95%
pack-out rate. The blueberry harvester machine collects about
22,000 pounds of blueberries per day with a 90% pack-out rate.
The pack-out rate is the percentage of collected blueberries
that can be packaged to be sold, based on Florida Blue Farms'
quality standards.
Let h represent the number of days the hand pickers work and
m represent the number of days the harvester machine is used.
Which of the following algebraic expressions can be used to
estimate the amount of collected blueberries that are packed at
the Florida Blue Farms for fresh consumption this season?


A (0.95h+200)(0.90+22000)

B 0.95(200h)+0.90(22000m)

C 200.95h+22000.90m

D (200h+0.95)(22000m+0.90)

Answer 1

Step-by-step explanation:

its b..........

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Answer 2

The farm uses two harvesting tools for packages that needs to be sold. So, we have to consider the rates of both harvest tools and the number of harvest by both tools. The algebraic expression is: $0.95(200h) + 0.90(22000m)$

Given that

$h \to$ days of hand pickers word

$m \to$ days harvester machine is used

$n_h = 200$ --- pounds of hand pickers

$n_m = 22000$ -- pounds of harvester

$r_h = 95\%$ -- pack out rate of hand pickers

$r_m = 90\%$ -- pack out rate of harvester

The expression to estimate the amount is calculated as:

$Amount = r_h \times n_h + r_m \times n_m$ --- i.e. pounds of hand picker * its pack out rate + pounds of harvester * its pack out rate

So, we have:

$Amount = 95\% \times 200h + 90\% \times 22000m$

Express as decimal

$Amount = 0.95 \times 200h + 0.90 \times 22000m$

Rewrite as:

$Amount = 0.95(200h) + 0.90(22000m)$

Hence, option (b) is correct.

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