Equations from Scenarios

• 3

• 2

• 2.5

• 0

The equation represents the height of a frog, h, in meters as a function of time, t, in seconds after it jumps out of a tree into a pond. What is the maximum height of the frog looking at the graph?

• ~50.2

• ~40.5

• ~2

• ~44.1

Let y be a linear function of x. When x=0, y has a value of 7. When y increases by 3, x decreases by 2. Which equation represents the relationship between x and y?

There are 800 grams of radioactive material, m. The half-life of the material is 3,000 years, t. How much radioactive material will there be in 7,000 years?​ Equation to represent the situation:​ ​ ​ (a)   Answer using the equation:​ (b)  

• 158.7

• 594.4

Consider the scenarios. Which statement is true?

• Scenario 2 is best represented by a linear function, while scenario 1 is best represented as an exponential function.

• Both scenarios are best represented by linear functions.

• Both scenarios are best represented by exponential functions.

• Scenario 1 is best represented by a linear function, while scenario 2 is best represented by an exponential function.

Pete’s Painting charges $25 to paint a bedroom, plus an additional $0.50 each square foot that they paint. If they charged me $201 to paint my kitchen, how many square feet did they paint?

• 0.50x + 25 = 201

• 25x + 0.50 = 201

• 0.50x + 201 = 25

• 25x + 201 = 0.50

Austin has $145 in his savings account. He earns $36 each week mowing lawns. If Austin saves all of his earnings, after how many weeks will he have $433 saved?

• 36x + 145 = 433

• 145x + 36 = 433

• 36x + 433 = 145

• 433x + 145 = 36

There were 331 students that went on a field trip. Six buses were filled and 7 students traveled in a van. How many students were on each bus?

• 6 + 7x = 331

• 331 - 6x = 7

• 6x + 7 = 331

• 6x + 7y =331

Jen wants to buy a new car for $18,500. She pays $2,500 at signing and wants to pay $250 per month. How many months until it is paid off?

• 18,500 + 2,500 = 250x

• 2,500 - 250x = 18,500

• 250x + 2,500 = 18,500

• 2,500 (250)x = 18,500

For every one A Dede gets on her homework, her parents give her $3. Which equation matches this scenario? Use m for money she makes, and A for the number of A's she gets on her homework.

• m= 3 + A

• m= 3A

• m= A + 3

• none of the these