Math

AlgebraQ&A LibraryThe number of people afflicted with the common cold in the winter months dropped steadily by 25 each year since 2002 until 2012. In 2002, 8,040 people were inflicted. Find the linear function that models the number of people afflicted with the common cold C as a function of the year, t. When will less than 6,000 people be afflicted?Question

Asked Dec 12, 2019

30 views

The number of people afflicted with the common cold in the winter months dropped steadily by 25 each year since 2002 until 2012. In 2002, 8,040 people were inflicted. Find the linear function that models the number of people afflicted with the common cold C as a function of the year, t. When will less than 6,000 people be afflicted?

Step 1

As ‘C’ denotes the number of people afflicted with common cold and let ‘t’ be the years after 2002 where year 2002 is denoted by t=0. The given information can be written as.

Step 2

On integrating we can find a linear function of ‘C’ with respect to ‘t’ as.

Step 3

Using the initial conditions given the spec...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: 42. A cannonball is fired from a cliff that is 260 feet above ground. The height s, in feet, of the ...

A: (a) Obtain the time at which the cannon ball will be 320 feet above the ground.

Q: Plotting fractions -5/6 and 7/3 on number line

A: To plot a fraction, the fraction if greater than 1 is written as a mixed fraction. While plotting, t...

Q: Solve the equation x + 5x – 16 = 0 using the Quadratic Formula. 2 + V3 2 – 3 Give your answers as tw...

A: Quadratic Formula:

Q: For f(x)=x^2 and g(x)=x^2+8, find the following composite functions and state the domain of each (a)...

A: Find the composite functions and state the domain of eachF(x)= x2G(x)= x2+8FogGofFofGog

Q: Find the vertex and the axis of symmetry of the parabola given by the equation. y = −x2 + 4x − 6 ...

A: The given equation of parabola is,

Q: Solve for x Preview

A: Consider the given equation

Q: Question 16: Determine if the function 1 f(x) = x* + x² + is even, odd, or neither. Show work.

A: The given function is,

Q: Factor completely 3x2-5x-2

A: The given expression is

Q: Let f(x)=x^2−2 and g(x)=2x−3 evaluate the following. c. 2f(x)−g(x) = d. f(g(4)) = e. g(f(4)) =

A: The given functions are