8. Find the smallest positive number when dividing by three the remainder is 2, when
dividing by seven, the remainder is 5, and when dividing by eleven, the remainder is 3.
9. An account executive receives a base salary plus commission. On $20,000 in monthly
sales, an account executive would receive compensation of $2700. On $50,000 in
monthly sales, an account executive would receive compensation of $4500. Determine a
linear model that gives the compensation of a sales executive for x dollars in monthly
sales. Use the model to determine the compensation of an account executive who has
$85,000 in monthly sales.
10. Consider a 10-mg injection of an antibiotic into the bloodstream. After 8 hours, the
amount of antibiotic in the blood is about 6.3 mg. Determine an exponential model for
the decay of the antibiotic in the bloodstream. Round your rate to two decimal places.
a. After 12 hours from injection, how much antibiotic remains?
b. How long will it take for there to be only 1.0 mg of the antibiotic in the
bloodstream?