Question

1. a town spends 43% of budget is one million dollars, how much will be spent on 0.43×1000000 = 430000 5. matt hopes to score 120 points this season. he has scored 80% of his goal so far. fill in the double number line diagram to find out how many points he has scored so far and write the answer. points scored 0 24 120 percent 0% 40% 100%

Explanation:

Step1: Understand the problem

Matt wants to score 120 points (this is 100% of his goal). We need to find 80% of 120 to know how many points he has scored so far.

Step2: Calculate 80% of 120

First, convert 80% to a decimal, which is 0.8. Then multiply 0.8 by 120: \(0.8\times120 = 96\).
Alternatively, using the double - number line:

• The number line for percent goes from 0% to 100%, and the number line for points goes from 0 to 120.
• We know that 100% corresponds to 120 points. To find 80% of the points, we can set up a proportion. Let \(x\) be the number of points scored so far. Then \(\frac{x}{120}=\frac{80}{100}\). Cross - multiplying gives \(100x = 120\times80\), so \(x=\frac{120\times80}{100}=96\).

Answer:

Matt has scored 96 points so far.