Question

Mark and Ron are brothers who are saving money for a golfing vacation. Mark initially deposited $72
into a non interest bearing account. Every week after opening his account, Mark deposited $40
more dollars. Ron initially deposited $0.25
into a non interest bearing account. Every week after that, Ron deposited enough money to double the previous week's balance.

Drag the most appropriate drop value into each blank to correctly complete the sentences.

(6 points)

Mark's savings can be modeled by the function,(Blank). Ron's savings can be modeled by the function, (Blank). After Response area weeks, Mark and Ron will both have $(Blank) area saved for their vacation. Although (Blank) function had a greater initial value, (Blank) function eventually grew more rapidly.

Blank options:
1.f(x)=72+40x
2.g(x)=0.25 multiplied by (2)^x
3.11
4.512
5.Ron
6.Mark

1 answer

To correctly complete the sentences based on the information provided, we can analyze the savings of Mark and Ron.

Mark's savings can be modeled by the function:

f(x) = 72 + 40x

Ron’s savings can be modeled by the function: 2. g(x) = 0.25 * (2)^x

After 3. 11 weeks, Mark and Ron will both have 4. 512 dollars saved for their vacation.

Although 5. Ron function had a greater initial value, 6. Mark function eventually grew more rapidly.

Putting it all together, the sentences will read:

"Mark's savings can be modeled by the function, f(x) = 72 + 40x. Ron's savings can be modeled by the function, g(x) = 0.25 * (2)^x. After 11 weeks, Mark and Ron will both have $512 saved for their vacation. Although Ron function had a greater initial value, Mark function eventually grew more rapidly."