MATH SOLVE

9 months ago

Q:
# Karim sent a chain email to 10 of his friends. The number of people who got the email increases by a factor of 1.4 every week. Write an expression that best represents the number of people who got the email after three weeks.

Accepted Solution

A:

Answer: [tex]N=10(1.4)^3[/tex] or [tex]N=27[/tex]

Step-by-step explanation:Given: The initial number of friends got mail = 10Then, The number of people who got the email increases by a factor of 1.4 every week. It implies there is an exponential increase in the number of people with multiplicative rate of 1.4 every week.Then the number of people who got the email after x weeks is given by:-[tex]N=10(1.4)^x[/tex], where x is the number of weeks.Now, the number of people who got the email after 3 weeks is given by:-[tex]N=10(1.4)^3=10\cdot(2.744)=27.44\approx27[/tex]

Step-by-step explanation:Given: The initial number of friends got mail = 10Then, The number of people who got the email increases by a factor of 1.4 every week. It implies there is an exponential increase in the number of people with multiplicative rate of 1.4 every week.Then the number of people who got the email after x weeks is given by:-[tex]N=10(1.4)^x[/tex], where x is the number of weeks.Now, the number of people who got the email after 3 weeks is given by:-[tex]N=10(1.4)^3=10\cdot(2.744)=27.44\approx27[/tex]