Ivy tech tuition was $3090 in 2010 and $3196 in 2015. calculate the slope, then create a linear model that would predict tuition for any year after 2010. assuming the linear trend remained constant, what would tuition be in 2017?

Part a) The slope is equal to

Part b) The linear equation is equal to

Part c) The tuition would be in 2,017

Step-by-step explanation:

step 1

Find the slope m

Let

x-----> the year after 2,010

y-----> the tuition

we have

For the year 2,010

For the year 2,015

so

Calculate the slope

step 2

Find the linear equation

with the slope m and the point A find the linear equation

substitute the values

-------> linear equation that would predict tuition for any year after 2010

step 3

Assuming the linear trend remained constant, what would tuition be in 2017

so

For

substitute in the linear equation

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt