20. the table below shows the weekly change in the price of one gram of gold for four weeks. (2017) one gram…

20. the table below shows the weekly change in the price of one gram of gold for four weeks. (2017) one gram of gold week weekly change in the price (dollars) 1 +1.25 2 - 3.125 3 +0.625 4 +1.5 by how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4? did the price increase or decrease? explain how you found your answer. the price of a gram of gold increased by $0.25. you need to add all the weekly changes then it was positive which means it increased. at the end of week 4, the price per gram of gold was $39.28. what was the price per gram of gold at the beginning of week 1? show your work. answer ______________ price per gram of gold
Answer
Explanation:
Step1: Calculate total price change
Add up the weekly changes: $1.25+( - 3.125)+0.625 + 1.5$. First, $1.25+( - 3.125)=1.25 - 3.125=-1.875$. Then, $-1.875 + 0.625=-1.25$. Finally, $-1.25+1.5 = 0.25$.
Step2: Find initial - price
Let the initial price be $x$. We know that $x+0.25 = 39.28$. So, $x=39.28 - 0.25$. $x = 39.03$.
Answer:
The price of one - gram of gold increased by $0.25$ from the beginning of week 1 to the end of week 4. The price per gram of gold at the beginning of week 1 was $$39.03$.