Exam 1: Graphs, Functions, and Models

Solve the equation. --3 x+9=9-3 x A) no solution B) 0 C) 9 D) all real numbers

Answer the question. -The points $( \sqrt { 3 } , - 2 )$ and $( 2 \sqrt { 3 } , 3 )$ are the points at which the diagonal of a square intersects the square. What are the coordinates of the center of the square? A) $\left( \frac { 5 \sqrt { 3 } } { 2 } , \frac { - 1 } { 2 } \right)$ в) $\left( \frac { 5 \sqrt { 3 } } { 2 } , \frac { 1 } { 2 } \right)$ c) $\left( \frac { 3 \sqrt { 3 } } { 2 } , \frac { - 1 } { 2 } \right)$ D) $\left( \frac { 3 \sqrt { 3 } } { 2 } , \frac { 1 } { 2 } \right)$

Write a slope-intercept equation for a line with the given characteristics. - m=2 , passes through (3,-7) A) y=2 x-13 B) y=2 x+12 C) y=3 x+14 D) y=2 x-11

Solve and graph the solution set. -y - 11 < -16 A) $\{ y \mid y > - 5 \} \text { or } ( - 5 , \infty )$ B) $\left\{ y ^ { \mid } y \leq - 5 \right\} \text { or } ( - \infty , - 5 ]$ C) $\{ y \mid y \geq - 5 \} \text { or } [ - 5 , \infty )$ D) $\{ y \mid y < - 5 \} \text { or } ( - \infty , - 5 )$

Solve the problem. -A shipping company has determined that their drivers in Montana on average travel 80 miles on a single delivery route for mail order products. This is five times the distance of an average route for Their drivers in New Jersey. How far, on average, is the route in New Jersey?

Solve the problem using your calculator. -The paired data below consist of the costs of advertising (in thousands of dollars)and the number of products sold (in thousands). What is the correlation coefficient? Cost 9 2 3 4 2 5 9 10 Number 85 52 55 68 67 86 83 73 A) -0.071 B) 0.246 C) 0.235 D) 0.708

Solve and write interval notation for the solution set. Then graph the solution set. - $- 3 \leq \frac { 1 } { 4 } ( 3 x - 1 ) < 4$ A) $\left[ - \frac { 11 } { 3 } , \frac { 17 } { 3 } \right]$ B) $\left( - \frac { 13 } { 3 } , 5 \right]$ C) $\left[ - \frac { 13 } { 3 } , 5 \right)$ D) $\left( - \frac { 11 } { 3 } , \frac { 17 } { 3 } \right]$

Evaluate as requested. -A graph of a function g is shown below. Find g(1.5). A) -1.5 B) -4.0656 C) 2.1 D) 3.9375

Solve the problem. -On a recent trip, Sarah's car traveled 20 mph faster on the first 120 miles than it did on the remaining 80 miles. The total time for the trip was 4 hr. Find the speed of Sarah's car on the first part of the trip.

Graph the equation. - $y = x ^ { 2 } + 6 x + 5$ A) B) C) D)

Plot the two points given by the ordered pairs. -A(4, 2), B(-1, 2) A) B) C) D)

Solve the problem. -Marty's Tee Shirt & Jacket Company is to produce a new line of jackets with a embroidery of a Great Pyrenees dog on the front. There are fixed costs of $680 to set up for production, and variable Costs of $43 per jacket. Write an equation that can be used to determine the total cost, C(x), Encountered by Marty's Company in producing x jackets, and use the equation to find the total cost Of producing 90 jackets.

Find an equation for the circle. -Center (19, 3), tangent (touching at one point)to the x-axis A) $( x - 19 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 9$ B) $( x - 3 ) ^ { 2 } + ( y - 19 ) ^ { 2 } = 361$ C) $( x - 19 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 361$ D) $( x - 3 ) ^ { 2 } + ( y - 19 ) ^ { 2 } = 3$

Determine whether a linear model might fit the data. - A) Yes B) No

Solve the problem. -Helen Weller invested $14,000 in an account that pays 12% simple interest. How much additional money must be invested in an account that pays 15% simple interest so that the average return on The two investments amounts to 13%?

Solve the problem using your calculator. -The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. Use a graphing calculator to model the data with a linear function that predicts a student's score as a function of the number of hours he or she studied. Hours 5 10 4 6 10 9 Score 64 86 69 86 59 87 A) y=33.7+2.14x B) y=33.7-2.14x C) y=67.3+1.07x D) y=-67.3+1.07x

Solve the problem. -The information in the chart gives the salary of a person for the stated years. Model the data with a linear function using the points (1, 24,500)and (3, 26,600). Year, x Salary, y 1990,0 \ 23,500 1991,1 \ 24,500 1992,2 \ 25,200 1993,3 \ 26,600 1994,4 \ 27,200 A) y=-1295 x+23,500 B) y=28.7 x+23,500 C) y=1050 x+23,500 D) y=1050x

Determine the slope, if it exists, of the graph of the given linear equation. -x = 8

Determine whether the pair of lines is parallel, perpendicular, or neither. -3x-8 y=18 32 x+12 y=18 A) Parallel B) Perpendicular C) Neither

Solve the problem. -If an object is dropped from a tower of unknown height, the velocity of the object after t seconds can be obtained by multiplying t by 32 and adding 10 to the result. Therefore, you can express V as A linear function of t. Find the domain of this function. A) $( - \infty , \infty )$ B) [1,4] C) $( - 1 , \infty )$ D) $[ 0 , \infty )$