Tom just received a new job offer. He is told that his starting salary will be $75,000 per year. He is told his salary will probably be $81,000 in four years. We'll use this information to try to anticipate his future earnings in any given year.Assume that Y= Tom's salary amount in dollars and x= the number of years worked. Step 1.Use the data given to find the rate of change, or the salary increase per year.( hint: compute the slope.) We are now going to use a line to model Tom's salsry growth. Step 2. Use the data given and the slope value from Step 1 to write the slope-intercept form of the line. Step 3. Based on your equation from Step 2, What will Tom's salary be in ten years?

Answer:Part 1) The rate of change is [tex]2,000\ \$/year[/tex] Part 2) The equation of the line into slope intercept form is [tex]y=2,000x+73,000[/tex]Part 3) Tom's salary would be [tex]\$93,000[/tex] in ten yearsStep-by-step explanation:Letx ------> the number of years workedy -----> Tom's salary amount in dollarswe have the pointsA(1, 75,000) and B(4,81,000)step 1Find the rate of change (slope)The slope is equal to [tex]m=(81,000-75,000)/(4-1)=2,000\ \$/year[/tex]step 2Find the equation of the line into slope-intercept formwe know that[tex]y=mx+b[/tex]wherem is the slopeb is the y-interceptwe have that[tex]m=2,000\ \$/year[/tex]point A(1, 75,000)substitute[tex]75,000=(2,000)(1)+b[/tex][tex]b=75,000-2,000=73,000[/tex]The equation of the line is[tex]y=2,000x+73,000[/tex]step 3What will Tom's salary be in ten years?For x=10 yearsSubstitute in the linear equation[tex]y=2,000(10)+73,000=\$93,000[/tex]