Sociologists have found that information spreads among a population at an exponential rate. suppose that the function y=525 (1 - e^-0.038t) models the number of people in a town of 525 people who have heard news within t hours of its distribution. use your graphing calculator to graph the function y=525 (1 - e^-0.038t) and determine when 90% of the people will have heard about the grocery store opening. a. 32 h b. 61 h c. 54 h d. 76 h

b. 61h

Step-by-step explanation:

b.

Step-by-step explanation:

We are given

Sociologists have found that information spreads among a population at an exponential rate

Since,

initial population is 525

so, 90% of population is

now, we can draw graph of both equations

and then we can find intersection point

so, we get time as

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: