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10. communications a telephone company charges $4.95 per month for long…

Question

  1. communications a telephone company charges $4.95 per month for long distance calls plus $0.05 per minute. the monthly cost c of long distance calls can be described by the equation c = 0.05m + 4.95, where m is the number of minutes.

a. find the y - intercept of the graph of the equation.
b. graph the equation.
c. if you talk 140 minutes, what is the monthly cost?

  1. marine biology killer whales usually swim at a rate of 3.2 - 9.7 kilometers per hour, though they can travel up to 48.4 kilometers per hour. suppose a migrating killer whale is swimming at an average rate of 4.5 kilometers per hour. the distance d the whale has traveled in t hours can be predicted by the equation d = 4.5t.

a. graph the equation.
b. use the graph to predict the time it takes the killer whale to travel 30 kilometers.
chapter 3
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Explanation:

Step1: Substitute \(m = 140\) into the equation \(c = 0.05m+4.95\)

$$c=0.05\times140 + 4.95$$

Step2: Calculate \(0.05\times140\)

$$0.05\times140=7$$

Step3: Calculate \(c\)

$$c = 7+4.95=11.95$$

Answer:

The monthly cost is \(\$11.95\)