Lia gets paid $450 a week plus a 5% commission on her sales. She hopes to
earn at least $600 dollars each week.
a. Write an inequality to represent the
verbal description.
b. How much does Lia need in sales to
make her goal?

A. $450 + 0.05x ≥ 600

B. she needs at least $3,000 in sales.

Step-by-step explanation:

You know that she gets paid 450 a week, she gets plus a 5% commission on her sales as well.

We know she hopes to earn $600 a week but we dont know the amount of sales.

X represents the amount of sales (since we dont know)

divide the 5% by 100 = 0.05x

She wants to AT LEAST earn $600 which is why ≥ is used as it means greater than or equal to and we do not know.

A. $450 + 0.05x ≥ 600

B. she needs $3,000 in sales.

Step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4