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3 years ago

nick bronson is paid $6 for each birdhouse he assembles. If he made 12 yesterday and 17 today, how much money he earn?

Mathematics

2 answers:

Radda [10]3 years ago

3 0

He made $72 yesterday, and $102 today. Total he made $174.
Hope this helps.

Bumek [7]3 years ago

3 0

For 1 bird house he got $6. If he makes 12 bird houses he will make $72. Put 1 over 6 ( 1\6) and (12\?) Cross multiply and divide, that = $72.
If he makes 17 bird houses he will make $102. Put (1\6) and (17\?) Cross multiply and divide and that = $102
$102+$72=$174

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Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a

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30-hour review course average a score of 620 on that exam.

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The linear equation which fits this data, and use this equation to predict an average score for persons taking a 57-hour review course.

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Let x be the number of hours of review course and y be the average score on that exam.

30-hour review course average a score of 620 on that exam. So, the linear function passes through the point (30,620).

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$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-620=\dfrac{749-620}{70-30}(x-30)$

$y-620=\dfrac{129}{40}(x-30)$

$y-620=\dfrac{129}{40}(x)-\dfrac{129}{40}(30)$

$y-620=\dfrac{129}{40}(x)-\dfrac{387}{4}$

Adding 620 on both sides, we get

$y=\dfrac{129}{40}x-\dfrac{387}{4}+620$

$y=\dfrac{129}{40}x+\dfrac{2480-387}{4}$

$y=\dfrac{129}{40}x+\dfrac{2093}{4}$

We need to find the y-value for $x=57$ .

$y=\dfrac{129}{40}(57)+\dfrac{2093}{4}$

$y=183.825+523.25$

$y=707.075$

$y\approx 707.1$

Therefore, the required linear equation for the given situation is $y=\dfrac{129}{40}x+\dfrac{2093}{4}$ and the average score for persons taking a 57-hour review course is 707.1.

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