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A family is comparing different car seats. One car seat is designed for a child up to and including 30 lb. Another car seat is designed for a child between 15 lb and 40 lb. A third car seat is designed for a child between 30 lb and 85 lb, inclusive. Model these ranges on a number line. Represent each range of weight using interval notation. Which car seats are appropriate for a 32-lb child?

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The number lines should show the weights the car seats are designed for in comparison the the weight of the 32lb child. The car seat made for children 30lb and lighter would not work because this child is 32lbs. Model this by placing a filled in circle at 30 and the arrow should face left. The seat for children between 15lbs and 40lbs and the seat designed for a child that is between 30lbs and 85lbs would work because the child is within these weight ranges. The number line for the seat for a 15lb-40lb child would have open circles at 15 and 40 with a line connecting the two points. The number line for a 30lb-85lb child should have filled in circles at these two point with a line connecting them.
yoodyannapolis

The interval notation is:

0 < x ≤ 30; 15 < x < 40; 30 ≤ x ≤ 85;

The  second and third car seats are suitable.

The number lines shows the weights of the car seats which is designed for in comparison the weight of the 32lb child.

Three car seats are designed as follows:

  • The car seat made for children upto 30lb.
  • The seat for children between 15lbs and 40lbs and
  • The seat designed for a child between 30 lb and 85 lb

As the seat designed for a child upto and including 30 lb would not be suitable for 32 lb child. Because 32lb is more than the 30 lb.

Now, the seat designed for a child between 30 lb and 85 lb, 30lbs and 85lbs would be suitable as the child is within these weight ranges that is 32lb.

The interval notation is:

0 < x ≤ 30; 15 < x < 40; 30 ≤ x ≤ 85;

The  second and third car seats are suitable.

Learn more:https://brainly.com/question/12017862

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