1. The percentage score on a test varies directly as the number of correct respo

Question

1. The percentage score on a test varies directly as the number of correct responses. Rita answered 24 questions correctly and earned a score of 60%. What would her percentage score have been if she had answered 34 questions correctly?

2. A car rental company charges $36 per day to rent a car and $0.15 per mile. Juan is charged $58.95 for one day rental. How many miles did he drive?

3. a. Multiply and simplify: (8 + i)(5 + 3i). Write the answer in the form a + bi, where a and b are real numbers.

b. Solve for x: log2 (5x-4) = 4

4. Solve the inequality, and write the solution in interval notation: Show all steps to get full credit.

  x+7 divided by x-1 is more than and equal to 0

Explanation / Answer

The percentage score on a test varies directly as the number of correct responses. so we can write

p = k c

where k is constant

Rita answered 24 questions correctly and earned a score of 60%

60% = 0.6

.6 = k ( 24 )

finding value of k

k = .6/ 24

k = 0.025

percentage score have been if she had answered 34 questions correctly

p = .025 ( 34 )

p = .85

if she answers 34 questions correctly percentage score would be 85%

2) equation of rent is given by

y = 0.15x + 36

where x is number of miles driven

Juan is charged $58.95 for one day rental

58.95 = 0.15x + 36

subtracting 36 from both sides

58.95 - 36 = 0.15x

22.95 = 0.15x

x = 153

miles driven = 153 miles

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