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1. Ciara solved the exponential equation 3 x+1 = 15 and her work is shown below. What is the first step she did incorrectly?

1. Ciara solved the exponential equation 3x+1 = 15 and her work is shown below. What is the first step she did incorrectly?Step 1: log 3x+1 = log15Step 2: (x + 1)log 3 = log15Step 3: log3 = Step 4: 0.477121 = Step 5: 0.477121(x + 1) = 1.176091Step 6: x + 1 = Step 7: x + 1 = 2.464975Step 8: x = 1.464975

2. A motorcycle cost $12,000 when it was purchased. The value of a motorcycle decreases by 6% each year. Find the rate of decay each month and select the correct answer below.

a)  −0.005143%

b)  −0.5143%

c)  −0.5%

d)  −0.005%

3. You decide to put $150 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 2.5% per year and is compounded monthly, how long does it take you to earn $3,000 without depositing any additional funds?

a)  10.1101 years

b)  119.954 years

c)  121.321 years

d)  134.34 years

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