Tom has just received a new job offer he is told his starting salary will be at 75000 per year he is also told that his salary will be probably be 83000 in the next 4 years how much will he make in the next 10 years? i need to know the linear equation an expression that can be written out for a graph you

Tom has just received a new job offer he is told his starting salary will be at 75000 per year he is also told that his salary will be probably be 83000 in the next 4 years

Let x be the number of years and y be the salary

his starting salary will be at 75000 per year

so when x=0 , y = 75000

In 4 years, the salary will be 83000

so when x = 4 , y = 83000

We got two points (0,75000)  and (4,83000)

Now we find slope and frame equation

The formula for slope using two points

Replace all the values and find out slope

So slope = 2000

Now we use point slope formula

We use slope m = 2000 and (0,75000)

y - 75000= 2000(x-0)

Add 75000 on both sides

y = 2000x + 75000

Required linear equation is y = 2000x + 75000

36

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.