Mathematics Enrichment

DAY 6

AVERAGE = add and

divide by the total

TOTAL

STEP 1: Get rid of answer choices that do NOT show the division by the TOTAL.

This is dividing by the ticket prices NOT the TOTAL.This is MULTIPLYING by the TOTAL.

STEP 2: Now that you only have 2 answer choices left, check the variables.STEP 3: ADULTS is represented by which variable? X = Adults

STEP 4: CHILD is represented by which variable?

Y = Children

Therefore, tickets cost $8.50X and $5.25Y

The variables are with the WRONG amounts.

STEP 1: Let’s make a table to see what’s going on when Lara sees a movie.

MOVIE BALANCE

Lara receives the card. 0 $100

1 100-9.95=90.05

2 90.05-9.95=80.10

3 80.10-9.95=70.15

Lara sees the 1st movie & $9.95 is deducted from the card.

Lara sees the 2nd movie & another $9.95 is deducted. Lara sees the 3rd movie & another $9.95 is deducted.

STEP 2: By now, you can see that $9.95 is deducted from the card every time Lara sees a movie. Get rid of answer choices that do NOT show this subtraction.

This is NOT subtracting $9.95 per movie.

This is NOT subtracting $9.95 per movie.

STEP 3: Now decide whether $9.95 should be multiplied by n or b.

Remember, b = balance on card

Remember, n = number of movies

Dependent

Range

YdoMain

Indepent

X

STEP 1: They are asking for a VARIABLE. Get rid of answer choices that have numbers. A number is NOT a VARIABLE!

STEP 2: When you see a problem like this, think of the pneumonic deviceDRY MIX.

So, looking at y = 3x+5, the dependent variable is “y”.

Cost per field$40 per day$40 lights$30 set up

Cost per field$40 per day$40 lights$30 set up

Cost per field$40 per day$40 lights$30 set up

Besides the above costs per field, there is a $10 cost for parking and a $10 reservation fee.

What is the best way to find the TOTAL cost?