Errormance Task Algebraic Expressions:
Simplifying Sales Tax
Weston is shopping for a new backpack. The backpack he wants costs $25.95. The sales tax in
Weston's city is 6%. What are two different expressions that could be used to calculate the total
cost of the backpack?
• Write two expressions to represent the price of the backpack, b, plus 6% of the cost: the
first expression as a sum and the second as a product.
Complete the table showing equivalent expressions and the total cost of different
backpacks in places with a different sales tax.
.
Expression 1 (sum)
Total
Expression 2 (product) Cost (5)
Backpack
Price
$15.50
$18.75
$20.99
$28.25
$33.40
$40.95
Sales
Tax
8%
15%
4%
6%
5%
9%
• Explain what the simplified expression means in terms of the original cost of the
backpack.

30005

yes ok                                            

the car was traveling 40 mph before it started skidding. ( 2 points ) 17. was the driver were her brakes working at 75% efficiency or better? ( 2 points ) yes 29.

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.