A fruit company recently released a new applesauce. By the end of its first​ year, profits on this product amounted to $25,000. The anticipated profit for the end of the fourth year is $72,700. After the first​ year, the ratio of change in time to change in profit is constant. Let x be years and y be profit in dollars. **HINT: The line must pass through (1, 25000) and (4, 72700)!**

Write a linear function (in slope-intercept form) that expresses profit as a function of time. Then, use this function to predict at the end of what year will the company’s profit reach $104, 500.

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

step-by-step explanation:

4  

25

5258y

54.

t5

5r

54

5856

542

5458

86

.8558.65

565

565

55898

786

8/95

5896

8656265

556478

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.