Answered

Find detailed and accurate answers to your questions on IDNLearn.com. Discover prompt and accurate answers from our community of experienced professionals.

The price for us postage stamps has increased over the years. since 1975, the price has increased from $0.13 in 2005 at a rate that is approximately linear. write a linear model for the price of stamps during this time period. let p represent the price and t represent the number of years since 1975.

Sagot :

It is found that Linear Equation: P = 0.008T + 0.13 and Price of stamp in 2015 = $0.45

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

From 1975 to 2005, 30 years, the price increased from 0.13 to 0.37.

This means the rate of change (slope) = 0.24/30 = 0.008

This means Price changed (increased) by $0.008 per year.

Slope = 0.008

The y-intercept (P) is at the starting point which is at T = 1975; the price was 0.13. Hence y-intercept is 0.13

The equation of a line is given as;

P = mT + b

Where m is the slope and b is the y-intercept.

Now, we can write the linear model equation as;

P = 0.008T + 0.13

Then to find the price of stamp in 2015, we see that this is 40 years later after 1975. So we plug in 40 into T in the equation found above;

P = 0.008(40) + 0.13

P = $0.45

Learn more about linear equations;

https://brainly.com/question/10413253

#SPJ4

We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.