Algebra Answers

Andrea divides up her free time in the ratio: games console : reading = 4 : 1.
She has 200 minutes of free time each day. How much time does she spend on each
activity.
Q.1 Answers
Time she spends on games console Time she spends on reading

Joe is going to the water slides and needs to figure out which deal is better. He can pay $30 to go on the water slides as much as he wants, or he can pay $18 to get in, plus an additional $3 per trip down the water slides. If Joe goes on a certain number of trips down the water slides, the two options are equivalent in terms of cost. What is the cost? How many trips is that?

CORONA infected people in a small town grows proportional to its existing
patients. Initially the number of infected people was 50000 and the COVID-19
positive people grow at a rate of 4% per week. Formulate the suitable
mathematical model and solve the following cases by Modified Euler’s method.
a) The number of patients after 3 weeks.
b) How long it will take to double the patients.

A patient takes a pill that holds 50 mg of medicine in it. The pill is metabolized, or used up, at a rate of 55% every hour.
a. Rounded to the nearest hundredth, how much of the pill has been used by the body after four hours?

b. If the patient does not take another pill, how much of the pill will the patient use after an infinite amount of time? (Round answer to the nearest hundredth.)

A patient takes a pill that holds 50 mg of medicine in it. The pill is metabolized, or used up, at a rate of 55% every hour.
a. Rounded to the nearest hundredth, how much of the pill has been used by the body after four hours?

A special event organizer wants to get the word out to 100 000 teens in the area about a concert coming up in three months. By posting the event on the musician’s website, 100 teens in the area will find out about the event in the first week. Research suggests that each of those teens will tell four new teens about the event, and those friends each will tell four more teens about it. How many times does this pattern need to continue until 100 000 teens know about the event?

In preparing for a marathon run in the spring, Joelle runs 5 miles in week four of training and 10 miles in week 14. Joelle’s weekly increase in mileage follows an arithmetic sequence.
a. Write the general term that relates the number of miles to the week number of training.


b. An official marathon is 26 miles long. In which week would Joelle run at least 26 miles?

What speed would the motorist have to average on the return trip from B to A to yield an overall speed of 30km per hour ( assume the motorist has average 20km per hour from A to B)

What is the common difference in this arithmetic sequence 4,2,0,-2,-4,-6?