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choli [55]
3 years ago
7

Sam spent half of his allowance going to the movies. He washed the family car and earned 7 dollars. What is his weekly allowance

if he ended with 16 dollars?
Mathematics
1 answer:
UkoKoshka [18]3 years ago
7 0
The answer is 18 dollars. If you subtract the $7 he earned, not originally part of his allowance, you get 9. Multiply by 2 because he spent half on the movies and you get 18.
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The equation of a line is usually written in the form of y=mx+c, where m is the gradient (also known as slope) and c is the y-intercept (the point through which the line cuts through the y-axis).

\boxed{gradient =  \frac{y1 - y2}{x1 - x2} }

Using the gradient formula above,

m =  \frac{ -4 - ( - 6)}{8 - 4}  \\ m =  \frac{ - 4 + 6}{4}  \\ m =  \frac{2}{4}  \\ m =  \frac{1}{2}

Substitute the value of m into the equation:

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To find the value of c, substitute a pair of coordinates.

When x=4, y= -6,

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c= -6 -2 <em>(</em><em>-2</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

c= -8 <em>(</em><em>simplify</em><em>)</em>

Thus, the equation of the line is y= ½x -8.

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