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Y=56.70+105x If the dependant vanable is dollars of sales and the independant variable is sales calls, how many sales calls are required to hit a sales of $130000 ?

a. 1237
b. 2292
c. 5000
d. 50%

1 Answer

3 votes

Final answer:

Approximately 1,238 sales calls are required to hit a sales target of $130,000 as calculated by solving the equation Y=56.70+105x for x when Y is $130,000.

Step-by-step explanation:

To find out how many sales calls are required to hit a sales target of $130,000 using the equation Y=56.70+105x where 'Y' is the dependent variable representing dollars of sales and 'x' is the independent variable representing sales calls, we must solve for 'x' when Y equals $130,000.

Here's the computation:

  1. Set up the equation: 130,000 = 56.70 + 105x.
  2. Subtract 56.70 from both sides: 130,000 - 56.70 = 105x.
  3. Divide both sides by 105 to solve for 'x': (130,000 - 56.70) / 105 = x.
  4. Calculate the value of 'x': x = 1,237.56 (approximately).

Thus, approximately 1,238 (since sales calls cannot be a fraction) sales calls are required to achieve $130,000 in sales.

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