Barbara is a waitress and she usually takes between 5 and 9 tables at a time. she found that when she is assigned five tables, she averages $15 in tips per table per shift. if she is assigned more tables, the amount of attention she gives to each table decreases. therefore, she averages less in tips per table. suppose each additional table causes every table to bring in $3 less in tips. which of the following equations could be used to find the amount of money she would make in tips if she takes 5 + x tables?
a.
t(x) = -3x2 + 75
b.
t(x) = 20 - x
c.
t(x) = x2 + 5x
d.
t(x) = 3x2 + 75

A. T(x) = -3x² + 75

Step-by-step explanation:

The number of tables she takes is 5 + x.  The amount she makes from each table is 15 − 3x.  So the total is:

T(x) = (15 − 3x) (5 + x)

T(x) = 3 (5 − x) (5 + x)

T(x) = 3 (25 − x²)

T(x) = 75 − 3x²

1. 3

2. 4

3. 1

hope this ! have a great day.

-wfz

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3