Question

1. steven buys 6 movie downloads. the total cost is $3 above or below $35. write an equation that models the cost x, in dollars, of each movie download

|□ - □x| - □ = 0

1. corey combines x pounds of herbal tea at $12 per lb with 8 pounds of green tea at $9 per lb. he makes a mixture that averages $10.50 per lb. which equation models the situation?

a 12 + x = 27.50
b 12x + 8 = 78
c 12x + 72 = 10.50(x + 8)
d 12x + 72 = 11.25(x + 8)

Explanation:

For Question 6:

Step1: Define total cost relation

The total cost of 6 downloads is $6x$, which differs from $35 by $3. This absolute difference equals 3, rearranged to match the given form.

Step2: Rearrange to target form

Start with $|6x - 35| = 3$, then rearrange to $|35 - 6x| - 3 = 0$.

Step1: Calculate cost of each tea

Cost of herbal tea: $12x$, cost of green tea: $9 \times 8 = 72$.

Step2: Total cost of mixture

Total weight is $x+8$ pounds, total cost is $10.50(x+8)$.

Step3: Set equal total costs

Total cost of individual teas = total cost of mixture.

Answer:

$|35 - 6x| - 3 = 0$ (filling the blanks: 35, 6, 3)

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For Question 7: