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 drop - down packages of saplings. the solution can be represented as drop - down with an arrow to the drop - down.
the options in the first drop - down are: at least 7, at most 7, at most 4, at least 4

Explanation:

Step1: Define the total number of saplings initially

Rita had \( x \) packages with 5 saplings per package, so the total number of saplings initially is \( 5x \).

Step2: Set up the inequality

She planted 15 saplings and has at most 20 left. So the inequality is \( 5x - 15 \leq 20 \).

Step3: Solve the inequality

Add 15 to both sides: \( 5x \leq 20 + 15 \) which simplifies to \( 5x \leq 35 \).
Divide both sides by 5: \( x \leq 7 \).

Answer:

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 (since \( x \leq 7 \) means all values less than or equal to 7 are included).

For the first drop - down: at most 7
For the number line representation: a closed circle at 7 with an arrow to the left