Math 103 Quiz

Math 103 quiz 5 2021c chapters 2 – 5 Upload file(s) as “Last Name Quiz 5” etc

Open book & notes, can use calculating device, formula sheets + extra paper. – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – Solve for x (show work) 1. 2x – (– 3x + 7) = 6 – 5 (x – 4)

Evaluate: show everything filled-in, then show the result, → round answer to 3 decimal places. 2. f (−2.1) = (0.4×2 − 4.6)e0.45x + 1.2

Solve this proportion (show work): 3. In a national park 47 deer are tranquilized, chipped, and released. Later in the month, hidden scanners around a food source detect 23 chips and cameras show 116 deer visited. What is the estimated deer population in the park? (show work. Round up final answer to nearest whole $)

4. A phone company offers 2 service plans. With Plan A the customer pays $0.19/minute with a $19.95 base fee. Plan B charges $27.95 upfront but only $0.05/minute. At what amount of minutes are the 2 plans equivalent? (round to nearest minute)

5. In Jurassic Park V: Barney Escapes, eleven Velociraptors and twelve T-rexes consume 3027 food packages. Elsewhere in the park, six Velociraptors and twenty T-rexes devour 2270 packages. a) Write the system of equations, b,c) then solve for the number of packages eaten

by 1 of each kind of dinosaur.

6. Use this equation 3y – 2x – 30 = 0 and write the coordinates for the

A. x-intercept ( ___ , ___ ) B. y-intercept ( ___ , ___ )

7. a. Draw a graph grid (over there →, or below) , plot the intercepts from #6

b. Label the intercepts as A, B (or show their x, y coordinates)

c. Draw a line through the points in #7a, and write the value for the slope =

8. Use this parabolic function → f(x) = 2x² – 3x – 2 with the questions below. Write the coordinates (as decimals, don’t round) for the

a. y-intercept ( , ) b. x intercepts: x1 = ( , ) x2 = ( , )

c. vertex ( , )

next d. Draw a graph grid, plot the points from #8a – 8c (over there →, or below)

then

connect the points. Label them as Yi, X1, X2, V → (or write their x, y coordinates)

bonus 1 In #8 above, (+0.15%) write the minimum value, otherwise write “no min. #”

(+0.15%) write the maximum value, otherwise write “no max. #”

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