Answer:
2. 17 or more times
3. C = 3 +5h; slope is cost per hour; y-intercept is flat fee; $28 for 5 hours
4. C = 25 +50h; $425 for 8 hours; $525 for 10 hours
Step-by-step explanation:
In every case, the total cost is the sum of the flat fee and the product of the cost per unit and the number of units.
2.
With the pass, the cost for n matinees is ...
with pass = 40 +1.00×n
Without the pass, the cost for n matinees is ...
without pass = 0 +3.50×n
We want to find n such that the cost with the pass is less:
with pass < without pass
40 +n < 3.5n
40 < 2.5n
n > 16
Seth must attend 17 or more matinees for the pass to be of benefit.
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3.
C = 3 +5h . . . . . $3 flat fee and $5 per hour
slope: cost per hour
y-intercept: flat fee
cost for 5 hours: 3 +5·5 = 28 . . . dollars
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4.
C = 25 +50h . . . . . . $25 flat fee and $50 per hour
For the given amounts of hours, we use that value for h.
C = 25 +50(8) = 425 . . . dollars for 8 hours
C = 25 +50(10) = 525 . . . dollars for 10 hours
