Drag each inequality or statement to the correct location on the table. not all inequalities will be used. jessica and morgan work for different companies. jessica has a base salary of $36,000 and will receive an increase in salary at a rate of 3.1% per year. morgan has a base salary of $38,000 and will receive an increase in salary at 2.5% per year. jessica and morgan are calculating the number of years, t, it will take each of them to earn a salary of more than $45,000 at their respective companies. determine the inequality could be used to find in which year of employment each woman surpasses a salary of $45,000. then decide which statement is true for each person.

Let

t---------> the time in years

y--------> the salary in dollars

we know that

Jessica's salary

so

Solve for t

applying log both sides

Morgan's salary

so

Solve for t

applying log both sides

therefore

the answers are

Jessica's salary

a) The inequality is equal to ----->

b) Her salary surpasses in the 8th year

Morgan's salary

a) The inequality is equal to ----->

b) Her salary surpasses in the 7th year

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

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