Cole gets paid $5,000 plus 16% of all his popcorn sales, x, while michael gets a fixed salary of $55,000.write an inequality that represents the dollar amount of sales that cole must generate each in order to make more than michael

5000 + (0.16)x > 55,000

Step-by-step explanation:

DATA:

Michael's salary = $55,000

Cole's basic salary = $5,000

--> Commission = 16% of sales

--> Sales = x

Cole's total salary

--> Basic salary + Commission x sales

--> 5000 + 16% of x

--> 5000 + (0.16)x  as 16 percent is equal to 16/100 = 0.16

Cole's total salary should be more than Michael's total salary

5000 + (0.16)x > 55000

--> Make x the subject

0.16x > 55000-5000

0.16x > 50,000

x > 50,000/0.16

x > 312500

The inequality that represents the dollar amount of sales is 5000 + (0.16)x > 55000.

The dollar amount of sales that Cole must generate should be more than $312500.

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.

explanation:

remove parenthesis:

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apply rule

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multiply fractions:

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divide:

=

mordancy.