Use the image to answer the question.
A number line ranges from 0 to 10 in 1 unit increments. An open point is labeled and plotted at 7.25. An arrow extends from that point to the right and goes beyond 10. The number line is labeled Width of Garage in Feet.
What inequality is shown on the graph? Write your inequality with the variable coming first. Use the letter w for the variable. Write your answer using a decimal number.
(1 point)
Lily is saving up to buy a cellphone. She needs to save at least $300 before she is able to buy the phone. Her grandfather gives her $40, and she earns $65 tutoring after school each week. Write an inequality for the number of weeks Lily will need to save to have at least $300, and describe the solutions.(2 points)
x+
≥
, where x is the number of weeks Lily will need to save. Lily must save for at least
weeks to have at least $300.
Based on the information provided, the open point labeled at 7.25 on the number line represents the value of the variable, which in this case is the width of a garage in feet (denoted by the variable w).
Since the arrow extends from the open point to the right and goes beyond 10, it suggests that the width of the garage can be greater than 10 feet.
The inequality represented on the graph can be written as:
w > 10
So, the inequality shown on the graph is w > 10.