the equation of a line can be used to express expenses for a business. the variables involved in the line…

the equation of a line can be used to express expenses for a business. the variables involved in the line would represent facets of business operation as follows: y = resulting expenses over a given period x = number of days (or other period) for which a specific value for expense is utilized b = constant base expense over a particular period per x resulting in the following formula, where the coefficient on x indicates the daily cost for the business in this case. y = -1000x + b find the value of b when y = -5000 and x = 3 (you do not need to include the units. only enter the number value for an answer.)

the equation of a line can be used to express expenses for a business. the variables involved in the line would represent facets of business operation as follows: y = resulting expenses over a given period x = number of days (or other period) for which a specific value for expense is utilized b = constant base expense over a particular period per x resulting in the following formula, where the coefficient on x indicates the daily cost for the business in this case. y = -1000x + b find the value of b when y = -5000 and x = 3 (you do not need to include the units. only enter the number value for an answer.)

Answer

Explanation:

Step1: Substitute given values

Substitute $y = - 5000$ and $x = 3$ into $y=-1000x + b$. We get $-5000=-1000\times3 + b$.

Step2: Simplify the right - hand side

Calculate $-1000\times3=-3000$. So the equation becomes $-5000=-3000 + b$.

Step3: Solve for $b$

Add 3000 to both sides of the equation: $b=-5000 + 3000$.

Step4: Calculate the value of $b$

$-5000+3000=-2000$.

Answer:

$-2000$