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VMariaS [17]
3 years ago
9

The Williams family goes shopping, and spend $95.00. They have a coupon for 20% off and the sales tax is 8%. What is the total c

ost of the shopping trip?
Mathematics
1 answer:
pshichka [43]3 years ago
5 0

Answer:

The total cost of the shopping trip is:

$82.08

Step-by-step explanation:

The Williams family goes shopping, and spend $95.00. They have a coupon for 20% off and the sales tax is 8%. What is the total cost of the shopping trip?

Step 1

We find the price after the discount

The Williams family goes shopping, and spend $95.00. They have a coupon for 20% off

Hence:

20% × $95

= $19

Therefore: $95 - $19

= $76

Step 2

We find the amount of sales tax

The sales tax is 8%

Hence:

8% of $76

= $6.08

Our sales tax = $6.08

Step 3

The total cost of the shopping trip is calculated as:

$76 + sales tax

= $76 + $6.08

= $82.08

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Answer:

\large \boxed{y =  -  \frac{1}{9} x -  \frac{5}{9} }

Step-by-step explanation:

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\large \boxed{m =  \frac{y_2 - y_1}{x_2 - x_1} }

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

\large{m =  \frac{1 - ( - 2)}{ -14 - 13} } \\  \large{m =  \frac{1 + 2}{ - 27} } \\  \large{m =  \frac{3}{ - 27}  =  -  \frac{1}{9} }

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

\large \boxed{y = mx + b}

We already know m-value as we substitute it.

\large{y =  -  \frac{1}{9} x  + b}

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

\large{y = -  \frac{1}{9} x + b} \\  \large{ - 2 =  -  \frac{1}{9} (13) + b} \\  \large{ - 2 =  -  \frac{13}{9}  + b} \\  \large{ - 2 +  \frac{13}{9}  = b} \\  \large{ -  \frac{5}{9}  = b}

Finally, we know b-value. Then we substitute it in our equation.

\large{y =  -  \frac{1}{9} x + b} \\  \large{y =  -  \frac{1}{9} x -  \frac{5}{9} }

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