04.04 assessment instructions
section 1. complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).

x f(x) = 2.5x − 10.5 g(x) = 64(0.5x)
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section 2. a newspaper started an online version of its paper 14 years ago. in a recent presentation to stockholders, the lead marketing executive states that the revenues for online ads have more than doubled that of the revenues for printed ads since starting the online version of the paper.

a: use the graph below to justify the lead executive’s statement.

b: determine the approximate year that the two ad revenues were equal.
see text version

(insert photo from below here)

section 3. two ocean beaches are being affected by erosion. the table shows the width, in feet, of each beach measured at high tide where 1995 is represented by year 0:

year number western beach width (in feet) dunes beach width (in feet)
0 100 20
5 90 45
10 80 70
11 78 75
12 76 80
15 70 95

a: describe the patterns shown by the erosion data measurements shown for each of the beaches in the table.

b: between which years will the beaches have approximately the same width?

c: assuming these rates remain constant, what can you do to get a better approximation of when the two beaches will have the same width?

Study published in the journal of personality and individual differences found that adults with adhd displayed more creative achievement than those who didn't have the disorder. "for the same reason that adhd might create problems, like distraction, it can also allow an openness to new ideas," says holly white, assistant professor of cognitive psychology. "not being completely focused on a task lets the mind make associations that might not have happened otherwise." white and priti shah at the university of michigan gave 60 college students – half of them with adhd – a series of tests measuring creativity across 10 domains. the adhd group scored higher across the board. the adhd group showed more of a preference for brainstorming and generating ideas than the non-adhd group, which preferred refining and clarifying ideas. the adhd status of the participants was established by asking whether the individual had ever been clinically diagnosed with adhd/add. the tests of creativity were pencil-and-paper tasks administered in a laboratory setting. each of the ten scales was comprised of multiple questions, the scores on which were summed (e.g., writing creativity: "how many words can you make from the letters in the word 'psychology' invention creativity: "write down as many uses for a paper clip that you can think of.") this procedure does allow for a participant to be scored as showing no creativity under these conditions. a) state the research question in plain language (i wonder if is related to (1 point) b) state the null hypothesis (1 point) c) state the research hypothesis (1 point) d) is the research hypothesis directional or non-directional (1 point) e) name the predictor / independent variable f) give the operational definition of the predictor / independent variable g) evaluate the construct validity of the predictor / independent variable. (face, procedure, method-match) h) name the outcome / dependent variable i) give the operational definition of the outcome / dependent variable. j) evaluate the construct validity of the outcome / dependent variable. (face, procedure, method-match)

Create a quadratic equation that has complex solutions

Which is true about the solution to the system of inequalities shown? y > 3x + 1 y < 3x – 3 only values that satisfy y > 3x + 1 are solutions. only values that satisfy y < 3x – 3 are solutions. values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions. there are no solutions.