Math Models - Final

Alice’s account balance is currently $12 and she deposits $10 every week. Bob’s account balance is currently $22 and he deposits $7.50 every week. After how many weeks will Alice and Bob have the same account balance?

What is the value of x in the equation 3(2x − 1) = 21?

A line has a slope of $$-\frac{2}{11}$$ and a y-intercept of $$\frac{5}{11}$$ . Which of the following is the equation of the line?

NOTE: Use the following equation, $$y=mx+b$$ ​ ​ ​ ​ (a)   ​ ​

The solution to the following system of equations is ​ (a)   .

$$6x+2y=10$$

$$-9x-3y=-15$$

A tourist decides to go cliff jumping in Hawaii from a cliff that is 7 yards from the water. The parabola below shows the path of the jumper. 

What is the equation's axis of symmetry?

A store is open for business while it is being renovated. The noise from the renovation is increasingly driving away customers. The daily revenue, r(d), the store has made, d, days since renovation began is modeled by the function,  $$r\left(d\right)=10,000\left(0.9539\right)^d$$

What is the factor of decay in this function?

The amount of time required to assemble a television varies inversely with the number of robots used on the assembly line. If 20 robots are able to assemble a television in 40 minutes, how many minutes would it take 32 robots working at the same speed to assemble the television?

NOTE: $$y=\frac{k}{x}$$

k = constant

Rashawn puts $550 in an account earning 8% simple interest annually. How many dollars will he have in his Certificate of Deposit after 6 years?

Rashawn will have (a)   in his account after 6 years.

NOTE: $$I=P\times r\times t$$

P = Principle or initial amount

r = Rate (in decimals)

t = time

The stem-and-leaf plot below shows the height of all the plants in Timothy's garden.

What is the difference between the tallest plant than the second shortest plant?

William tossed a coin four times while waiting for his bus at the bus stop. The first time it landed on heads. The second time it landed on tails. The third and fourth time it landed on heads. If he were to toss the coin a fifth time, what are the chances that it will land on tails?