1.04 Template

Question 1: Two of your friends, Matt and Karen, both run to you to settle a dispute. They were working on a math problem and got different answers. Wisely, you decide to look at their work to see if you can spot the source of confusion.

Matt's Answer / Error on line (Write ok if no error)
6 – 4(3 – 5)^2 + 30 ÷ 5
6 – 4(–2)^2 + 30 ÷ 5
6 – 4(4) + 30 ÷ 5
6 – 16 + 30 ÷ 5
−10 + 30 ÷ 5
20 ÷ 5
Matt's answer 4
Karen's Answer / Error on line Write if no error)
6 – 4(3 – 5)^2 + 30 ÷ 5
6 – 4(–2)^2 + 30 ÷ 5
6 – 4(−4) + 30 ÷ 5
6 + 16 + 30 ÷ 5
6 + 16 + 6
22 + 6
Karen's Answer: 28
Your Answer / Summarize Matt and Karen’s errors here

Question 2: Ismael is comparing cell phone plans before upgrading his phone.

  • Ameri-Mobile offers a low activation fee, but a high monthly payment.
  • Cell-U-Later offers a lower monthly rate, but the activation fee is higher.

Create a possible algebraic expression for both Ameri-Mobile and Cell-U-Later that shows the amount paid after an unknown amount of months have passed. Justify how you created those expressions and identify what each term and factor represents in terms of the cell phone plans.

Cell Phone Company / Activation fee (use actual numbers that make sense for the problem) / Monthly payment (use actual numbers that make sense for the problem) / Number of months / Equation
Ameri-Mobile
Cell-U-Later

Justify how you created those expressions and identify what each term and factor represents in terms of the cell phone plans.

Type answer here:

Question 3: Ellen works for a high-speed rail company that wants to develop a new rail line. Ellen’s project is to find a train that is the second fastest in the world.

  • The Shinkansen Bullet Train in Japan is reported to go as fast as 320 kilometers per hour.
  • The TGV train in France can reach speeds of 89.44 meters per second.

Explain to Ellen how to find what speed her new train must go to be the second fastest in this group.

Then, find an appropriate speed for Ellen’s train in miles per hour and use the formula distance = speed •time to find how far the train can go in 2.5 hours. Use complete sentences and show your work.

Step 1: Convert the TGV train to km per hr
Step 2: Compare the TGV and Shinkansen Train and pick a value between so that Ellen’s will be the second fastest train
Shinkansen Train / Ellen’s Train
(This value will be Ellen’s train in Km per hr) / TGV Train
______km/hr / ______km/hr / ______km/hr
Step 3: Convert Ellen’s Train to Miles per hr
Step 4: Find out how many miles Ellen’s train will go in 2.5 hrs

Question 4: Beatriz is creating graphs for her city’s Parks Department. Beatriz is trying to persuade the Parks Department to put in more gazebos for shade. For a local park,

  • Beatriz wants to demonstrate the attendance as it changes every week.
  • She also wants to show the temperature changes per month (sometimes temperatures reach below zero).

Explain to Beatriz how to make the graphs correctly based on the data that she will collect and what labels, scales, and intervals each axis must have on each graph. Use complete sentences and support your reasoning. Feel free to generate sample data to help support your response.

Weekly attendance graph / Monthly temperature graph
X-axis label
Y-axis label
X-axis minimum value
X-axis maximum value
X-axis increments
Y-axis minimum value
Y-axis maximum value
Y-axis increments
Support your reasoning