Open Ended Answers

PSSA Practice

Problem 1

a)  Let x = temperature  and   y = # of fish caught
     y = 2x -10

b)  y = 2x - 10
     y = 2(72) -10
     y = 134 fish

Problem 2

Paid within 10 days:    $118  (.59 x 200)
Paid after 10 days:      $138  (.69 x 200)

Savings:    (138-118)/118 = .169   which is approximately 17%

Problem 3

According to the proposals, the three employees at the lower end of the current pay would prefer the flat raise; however, everyone else would prefer the 10% increase (see table from calculator above).  So, if majority rules, the 10% raise should be accepted.  It also results in the higher mean and median pays for all employees.

Problem 4

Volume of cylinder is  pi(2)²(5) = 62.8 cubic feet

a)  62.8 / 2 = 31.4 seconds

b)  62.8 = (6)(3)(h)
     Therefore, h = 3.5 feet

c)  62.8 / 72 = Approx 87%

Problem 5

A)  Area of walkway is 24 ft x 21 ft - 18 ft. x 15 ft. = 234 sq. ft. 

B)  Price is 234 sq. ft. x $2.18/ sq ft = $510.12

Problem 6

The price of the SUV in 5 years is $16,638.95

The equation for depreciation is y = -3799.075x + 35039.775 where x represents the years of depreciation and y represents $ amount of the SUV.

Problem 7

A)  To break even John must sell 70 products.

B)  To make $13,300 profit John must sell 146 products.

Problem 8

1330 x 3 x 2.5 ÷ 5280 = 1.889 or approx. 2 miles

Problem 9

A) 14.25 square feet        B)  12 fenceposts