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3 years ago

14

Jeff and his friends win a prize.

1 answer:

Anit [1.1K]3 years ago

8 0

Answer:

Prize, P = $352

Step-by-step explanation:

Let Jeff's share be J.
Let the value of the prize be P.

<u>Given the following data;</u>

J = $160
J = 5P/11

To find the value of the prize;

$\frac {5}{11} * P = 160$

$\frac {5P}{11} = 160$

Cross-multiplying, we have;

$5P = 160 * 11$

$5P = 1760$

$P = \frac {1760}{5}$

<em>Prize, P = $352</em>

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Answer:

$y = \frac{5000r}{3} -50$

Step-by-step explanation:

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So, we have:

$(r_1,y_1) = (90\%,1450)$

$(r_2,y_2) = (69.6\%,1110)$

Required

Determine the equation in slope intercept form

First, we calculate the slope

$m =\frac{y_2 - y_1}{r_2 - r_1}$

This gives:

$m =\frac{1110 - 1450}{69.6\% - 90\%}$

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Convert percentage to decimal

$m =\frac{-340}{-0.204}$

$m =\frac{340}{0.204}$

Multiply by 1000/1000

$m =\frac{340*1000}{0.204*1000}$

$m =\frac{340000}{204}$

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The equation is then calculated as:

$y - y_1 = m(r - r_1)$

This gives:

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Open Bracket

$y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*90\%$

Convert percentage to decimal

$y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*0.90$

$y - 1450 = \frac{5000r}{3} - 5000*0.30$

$y - 1450 = \frac{5000r}{3} - 1500$

Make y the subject

$y = \frac{5000r}{3} - 1500+1450$

$y = \frac{5000r}{3} -50$

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3 years ago