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Chapter 8: Q37. (page 406)

The table shows the amount charged for standard ground shipping by an online electronics store.

  1. Is shipping cost a function of merchandise cost? Explain.
  2. Is merchandise cost a function of shipping cost? Explain.

Short Answer

Expert verified
  1. Yes, the shipping cost is a function of merchandise cost.
  2. No, merchandise cost is not a function of shipping cost.

Step by step solution

01

a.Step 1. Given Information.

The table shows the amount charged for standard ground shipping by an online electronics store.

02

Step 2. Calculation.

We know that a relationship will be also a function, when each input in the domain has exactly one specific corresponding output.

We also know that for a relation to be a function, one x-value cannot have two y-values, while two x-values can have same y-value.

Shipping cost is a function of merchandise cost because each merchandise cost corresponds to exactly one output (one shipping cost).

03

Step 3. Conclusion.

The shipping cost is a function of merchandise cost.

04

b.Step 1. Given Information.

The table shows the amount charged for standard ground shipping by an online electronics store.

05

Step 2. Calculation.

We know that a relationship will be also a function, when each input in the domain has exactly one specific corresponding output.

We also know that for a relation to be a function, one x-value cannot have two y-values, while two x-values can have same y-value.

Merchandise cost is not a function of shipping cost because each shipping cost corresponds to many outputs (different merchandise costs).

06

Step 3. Conclusion.

The merchandise cost is not a function of shipping cost.

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Most popular questions from this chapter

A skydiver uses an altimeter to track altitude so that he or she knows when to open the parachute. The altimeter determines altitude by measuring changes in atmospheric pressure. The graph below shows how pressure varies with altitude as a skydiver falls from 12,000 feet to ground level. (The elevation of the ground is assumed to be 0 feet with respect to sea level.)

  1. As a skydiver fall, does the atmospheric pressure increases or decreases?
  2. Describe the domain and range of the relation represented by the graph.
  3. Is the relation a function? Explain.
  4. Some altimeters can sound an alarm warning a skydiver to open the parachute when the altitude falls to a certain level. If the alarm is set to go off at an altitude of 3000 ft, approximately what atmospheric pressure will trigger the alarm?

Spacecraft in 1997, the Pathfinder spacecraft landed on Mars. It contained a robotic vehicle named Sojourner that could roam up to 500 meters from the lander. The distance d (in meters) that Sojourner could travel in t hours is given byd=24t. How long would it take Sojourner to reach its maximum distance from the lander?

1. Copy and complete the table using the given equation


0

5

10

15

20

25

30


?

?

?

?

?

?

?

2. Use your completed table to graph d=24t.

3. Find the point on the graph whose d-coordinate is 500, and estimate the t-coordinate of this point. How much time would it take Sojourner to reach its maximum distance from the lander?

Graph the equation.

x=-1.

Copy and complete using always, sometimes, or never: A relation is ? a function.

Tell whether the ordered pair is a solution of the equation.

3x-5y=-1;9,5
See all solutions

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