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Question
select the correct answer from each drop - down menu.
rita is planting saplings along her garden fence. when she started, she had x packages of saplings with 5 saplings per package. she planted 15 saplings and has at most 20 left. how many packages of saplings did she start with? what would the solution look like on a number line graph?
when rita started, she had at most 7 packages of saplings. the solution can be represented as with an arrow to the
an open circle
a closed circle
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Step1: Define the inequality
Rita started with \( x \) packages, each with 5 saplings, so total saplings initially: \( 5x \). She planted 15, so remaining: \( 5x - 15 \). This is at most 20, so \( 5x - 15 \leq 20 \).
Step2: Solve the inequality
Add 15 to both sides: \( 5x \leq 20 + 15 \) → \( 5x \leq 35 \). Divide by 5: \( x \leq 7 \).
Step3: Determine the number line representation
For \( x \leq 7 \), we use a closed circle at 7 (since 7 is included in the solution) and an arrow to the left (for values less than or equal to 7).
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When Rita started, she had at most 7 packages of saplings. The solution can be represented as a closed circle at 7 with an arrow to the left. So the second drop - down (for the circle type) should be "a closed circle", and the arrow direction (implied by the inequality \( x\leq7 \)) is to the left (though the problem's second drop - down is about the circle, so the answer for the circle part is "a closed circle").