Algebra Lesson 3-3 Quiz v3

Inspect the graph below. What is the value of k?

Let f(x)=-\frac{2}{3}x+4 and h(x)=6f(x).

A. What is the slope-intercept equation for h(x), (something like h(x)=mx+b)?

B. What is the slope of h(x)?

C. What is the y-intercept of h(x)?

Select the equations that accurately match the graph.

If f(x)=3x+2 and g(x)=f(x)-7, which equation defines g(x)?

You showed up late for Algebra class one too many times, and now you have detention! Ms. Chartier told you that you have to fold Pier School newsletters so they can be put in envelopes and mailed. You have to stay until you're done folding all 500 copies of the newsletter. You start folding as fast as you can, which is a steady rate of 5 \frac{\textrm{newsletters}}{\textrm{minute}}.

Scenario A: You have to fold all 500 copies.

Scenario B: You find that Ms. Hoxsie has already folded 75 newsletters!

Part 1: Model Scenario A with a linear function a(m) where the input m is the number of minutes that you've been folding and the output a(m) is the number of newsletters left to be folded.

Part 2: Model Scenario B with a linear function b(m) where the input m is the number of minutes that you've been folding and the output b(m) is the number of newsletters left to be folded.

Part 3: Describe the transformation from a(m) to b(m).

BONUS: Maximum 2 percentage points

Give the upper and lower bounds of the domain and range of the function b(m) from the scenario above.