Tutor profile: Mehmet K.
William Wallace bought 6 containers of yogurt for $7.68. Write an equation relating the cost c to the number of yogurts y. How much would William pay for 10 yogurts at this same rate?
Find the unit rate between cost and containers of yogurt. Cost in dollars/containers= 7.68/6 = or $1.28 per container. The cost is $1.28 times the number of containers of yogurt. c=1.28y let "c" represent the cost. Let "y" represent the number of yogurts. =1.28(10) Replace "y" with "10". =12.80. Multiply. The cost of 10 containers of yogurt is $12.80.
Subject: Basic Math
In a recent season, St.Pederson Cardinals first baseman William Wallace had 175 hits in 530 at bats. To the nearest thousandth, find his batting average.
Solution; To find his batting average, divide the number of his hits,175, by the number of at bats, 530. 175:530=0.3301886792 Look at the digit to the right of the thousandths place. Since 1<5, round down. William Wallace's batting average was 0.330.
Willam Wallace would like to go to the movie theater to see the latest movie of Harry Potter with his friends. He already paid $3 for parking fees before they entered the theater. Also, each ticket will cost $13 per person. He spent $68 out of his pocket. How many friends of William did go to the movie theater with him? Please set up an equation with giving data and solve the problem!
Before started to solve the problem, realized that this question covers the lesson of y=mx+b (slope-intercept form). Step-1(Find slope=m and y-int=b;) Since unit rate for tickets is $13, slope(m)=13 Also, y-int=b represents an initial value or a starting point or the point crosses the y-axis which is parking fee=$3 (already paid this amount) x-values represent #of people. y-values represent total cost. (money) Step-2(Write the equation); Let's write the equation with giving slope and y-int. y(total cost)= 13x+3 Step-3(solve the equation); since the total cost is $68, y=68. Replace 68 with y in the equation. The equation looks like: 68=13x + 3. The question asks us to find the # of people who went to the movie theater which is X value. We need to find x by solving this two-step equation. Subtract 3 both sides of the equation to cancel number next to the variable: 68-3=13x+3-3 And divide both sides by 13 to get the variable: 65:13=13x:13 Finally; 65:13. x=5; this means a total of 5 people went to the theater including William. Solution: Besides William, 4 friends of him went to the movie theater.
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