![]() Since there were 15,000 people, then there will need to be 15,000 pieces of bread if each person is to get just one piece. But this should be 5 since there were originally 5 loaves, so multiply the model by 5. However, at x = 0, or before any bread was broken, this model gives P = 2 0 = 1. This is an exponential model with base 2. ![]() ![]() Since the bread was always broken into two pieces, the amount of bread would always be multiplied by two. Then (b) how many times did Jesus have to break a piece of bread before each person could have at least 1 piece? Solution If each time the bread and fish were broken, Jesus broke them into two pieces each and there were 15,000 people, (a) write a model for the number of pieces of bread, P, after x number of breakings. Since the x-intercept is (4, 0), the solution is x = 4.ĭuring the Feeding of the 5,000, Jesus broke 5 loaves and 2 small fish and passed the pieces to the disciples who in turn passed them to the people. Graph the left-hand side and find the x-intercept. To solve this by graphing, subtract the 3 to make the right side 0. Logarithms of negative numbers are undefined, so −2 is an extraneous solution and not a valid answer. Then simplify and solve the resulting equation.Ģ log 2 ( x 2 − 2 x) = 2 3 2 log 2 ( x 2 − 2 x) = 8 x 2 − 2 x = 8 x 2 − 2 x − 8 = 0 The base of the logarithm is 2, so exponentiate both sides using 2 as the base. Condense the logarithms to make a single logarithm that is isolated on the left side of the equation. The first step is to isolate the logarithm, but there are two of them. To solve any equation by graphing, follow the general procedure from last chapter. The lesson today is on how to solve these types of problems. If each person got one piece of food, the equation becomes 15,000 = 7(2) t. If the bread and fish were each divided in half, how many time would it have to be divided to feed all 15,000 people? Then he passed out the pieces of bread and fish to the desciples to give to the people. Jesus took the food, gave thanks, and broke the bread and fish. A boy had a lunch of five small barley loaves adn two small fish. The crowd has been estimated at 15,000 people. Near evening, Jesus asked where to buy food for the 5,000 men plus women and children. So Jesus spent the day teaching and healing. ![]() Jesus went across the Sea of Galilee for some time with just his disciples, but the multitudes of people followed on land and quickly caught up with Him. In John 6:1-15 and Matthew 1:13-21, the Bible tells the story of Jesus feeding the 5,000.
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