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3 years ago

Dinner Bill- $28.15, Tax- 8%, Tip- 15% What is the final cost.

Mathematics

1 answer:

aev [14]3 years ago

7 0

Answer is 34.96$ for the final cost.

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$\huge{ \boxed{ \bold{ \sf{y = - 2x + 6}}}}$

☥ $\tt{Question} :$

Write the equation of a line in slope - intercept form that has a slope of -2 and passes through the point ( - 1 , 8 ).

☥ $\tt{Step - \: by \: - \: step \: explanation}$

☪ $\underline{ \underline{ \text{Given : }}}$

Slope ( m ) = -2
Given point = ( - 1 , 8 )

☪ $\underline {\underline{ \text{To \: find}}} :$

Equation of a line in slope - intercept form ( i.e y = mx + c )

Let the point ( -1 , 8 ) be ( x₁ , y₁ )

☪ $\underline{ \underline{ \text{Solution}}} :$

$\underline{ \sf{y - y1 = m(x - x1)}}$

plug the known values :

↦ $\text{y - 8 = - 2 \{ x - ( - 1) \} }$

↦ $\text{y - 8 = - 2(x + 1)}$

Distribute -2 through the parentheses :

↦ $\text{y - 8 = - 2x - 2}$

Transpose 8 to right hand side and change it's sign

↦ $\text{y = - 2x - 2 + 8}$

↦ $\boxed{ \text{y = - 2x + 6}}$

And we're done !

Hope I helped!

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4 0

3 years ago

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Dinner Bill- $28.15, Tax- 8%, Tip- 15% What is the final cost.​

Dinner Bill- $28.15, Tax- 8%, Tip- 15% What is the final cost.