Interpreting Rate of Change and Initial Value Part 2

Interpreting Rate of Change and Initial Value Part 2

Bonnie has decided to join a gym for the next 3 months.

Fabulous Fitness charges $45 per month.

Greg’s Gym charges $99 every 3 months.

How can she compare the two options to determine the better value?​

Multiple Choice

If the data for each gym was graphed on a coordinate plane, which gym would have a point on the origin (0,0)?

• Fabulous Fitness

• Greg's Gym

Open Ended

Given that $7.00 is the initial value, what could that initial cost represent in the total cost for purchasing the name tags?

​Cost of Name Tags

The function representing the cost of the name tags purchased is shown in the graph.​

Examine the graph before answering the next few questions.

Fill in the Blank

If x represents the number of name tags purchased. Complete the ordered pair below by determining in the missing coordinate of the point on the graph.



(10,

)

**Remember it costs $2 per tag plus the $7 initial fee.

Open Ended

Complete the statement below:

The point (10, 27) means that it will cost $_____ for ______ name tags.

As a reminder, when an equation is written slope-intercept form, the "m" represents the slope/CROC

Now we know that the "b" represents the y-intercept or the "initial value" of the function.

Slope-Intercept Form

OR

INITIAL VALUE!

Multiple Choice

The graph represents the money in a savings account.  What is the meaning of the y-intercept?

• The initial deposit was $30

• $30 is added to the account each week

• It took 30 weeks to same enough money to open an account

• not enough information

Multiple Choice

The graph represents the height of a burning candle.  What is the meaning of the y-intercept?

• the time it takes to burn the entire candle

• the rate at which the candle is losing height

• the change in the height of the candle each hour

• the original height of the candle

Multiple Choice

Which statement matches the graph?

• Taylor can write 6 words per minute

• Taylor can write 25 words per minute

• Taylor can write 50 words per minute

• Taylor can write 150 words per minute

Multiple Choice

Janice is saving money for retirement. The equation y = 500x + 12,000 models her retirement savings where y is the total she has saved in dollars, and x is the number of months.

Interpret the y-intercept.

• Janice started with $500 in her account

• Janice started with $12,000 in her account

• Each month, Janice saves an additional $500

• Each month, Janice saves an additional $12,000

Multiple Choice

An air conditioning salesman earns a base salary plus a commission for each air conditioner her sells.

The equation y = 375 + 125x represents his pay based on the number of air conditioners he sells each week.

What is the slope and what does it represent?

• The slope is 375 and represents the amount he earns for each air conditioner.

• The slope is 125 and represents the amount he earns for each air conditioner.

• The slope is 375 and represents the base salary.

• The slope is 125 and represents the base salary.