Algebra 2

Question

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Answer 1

Step 1:

Lawrence has two part time jobs one at a movie theater and one at a pet store.

He last week worked hours at movie theater and hours at pet store was.

He the week before he worked hours at movie theater and hours at pet store was.

(a)

Find the Lawrence earns per hour at the movie theater and pet store.

Let represents amount per hour at movie theater.

Let represents amount per hour at pet store.

Since, The equations are

First equation can be written as .

Second equation can be written as .

Solve the two equations.

Substitute in any equation to find -value.

He earns at the movie theater per hour and at the pet store per hour.

(b)

Find how many hours is needed to earn at least at movie theater.

He works hours at the pet store.

Let represents number of hours he needed.

The inequality can be written as .

Substitute in the above inequality to find hours.

He has to work at least hours at the movie theater.

Solution:

(a) He earns at the movie theater per hour and at the pet store per hour.

(b) He has to work at least hours at the movie theater.