Question

The equation a = 50m + 100 represents the amount of money in Malorie’s bank account as a function of time, in months. The table shows the amount in Katina’s bank account for a period of several months.

Month 0 1 2 3 4 5
Katina's Bank Account 200 220 240 260 280 300

A. How much money is in Malorie’s bank account when Katina has $280 in her account? Show your work.

B. Whose account changes at a greater rate? Show your work.

Answer 1

A: 300 B: Malorie

Step-by-step explanation: Katina's account starts at $200 and increases by $20 each month. Malorie starts at only $100 but increases at a rate of $50 per month. for "A", Katina is 4 months in which equals $280. so, you take Malorie's $50 rate times the 4 months and you get $200. You then add that $200 to the starting $100 to equal $300.

B: 50m>20m. Malorie's monthly rate is listed in the equation as $50. Katina's rate of $20 comes from the $20 increase in her account each month.