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Question

A step function consisting of five line segments is plotted in quadrant 1 of a coordinate plane. The x-axis is labeled Distance in miles, and the y-axis is labeled Shipping Price.

Long Track Shipping bases their shipping costs on the distance you are sending your goods. Shipping under 40 miles costs $5. Shipping 40 miles to under 100 miles costs $10. Shipping 100 miles to under 150 miles costs $15. Shipping 150 miles to under 175 miles costs $20. Shipping 175 miles to 200 miles costs $25. Based on the graph, find the appropriate domain interval that costs $20 for shipping prices.

(1 point)
Responses

150<s≤180
150 less than s less-than-or-equal-to 180

150≤s≤175
150 less-than-or-equal-to s less-than-or-equal-to 175

150≤s<175
150 less-than-or-equal-to s less than 175

150<s≤175
150 less than s less-than-or-equal-to 175
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Answer 1

Based on the information provided, the shipping price of $20 applies to distances from 150 miles to under 175 miles.

This means that:

• At 150 miles, the cost is $20 (inclusive, since it includes 150).
• At any distance less than 175 miles, the cost remains at $20.
• At exactly 175 miles, the cost transitions to $25 (exclusive, since it does not include 175).

Therefore, the appropriate domain interval for which the shipping price costs $20 is:

150 ≤ s < 175

So the correct response is:

150≤s<175 (150 less than or equal to s less than 175)