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Mathematics

1 answer:

BaLLatris [955]2 years ago

8 0

Answer:

a) t(n) = 200n -238

b) t(n) = 2.7n -4.3

Step-by-step explanation:

This is the same sort of problem as writing the equation of a line through two points. The slope (coefficient of n) is found using the slope formula:

m = (y2 -y1)/(x2 -x1)

And the constant term is found from one point and the slope:

b = y1 -m·x1

As always, if you have a number of these to do, you can save some trouble by putting the formulas in a spreadsheet. It will guarantee the formula is executed without mistakes.

In the attached, we have labeled the points (n1, t1), (n2, t2) instead of (x1, y1) and (x2, y2).

a) t(n) = 200n -238

b) t(n) = 2.7n -4.3

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jamie wants to run a total of 9 miles thid week. so far, she has run 4 5/8 miles. use the equation 4 5/8 + r = 9. please help m

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Answer:

$r=4\frac{3}{8}$

Step-by-step explanation:

Given the following question:

$4\frac{5}{8} +r=9$

<u>Rewrite the expression to find the value of r:
</u>
$9-4\frac{5}{8}$

<u>Subtract by finding the common denominator:</u>
$9-4\frac{5}{8}$
$9=\frac{9}{1}$
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$\frac{9}{1} -\frac{37}{8}$
$\frac{9}{1} \times8=\frac{72}{8}$
$\frac{37}{8} \times1=\frac{37}{8}$
$\frac{72}{8} -\frac{37}{8}$
$72-37=35$
$=\frac{35}{8}$
$\frac{35}{8} =35\div8=4\frac{3}{8}$
$r=4\frac{3}{8}$
$4\frac{5}{8} +4\frac{3}{8} =9$

Hope this helps.