Tutor profile: Rina L.
h = 3a + 28.6 A pediatrician uses the model above to estimate the height h of a boy, in inches, in terms of the boy’s age a, in years, between the ages of 2 and 5. Based on the model, what is the estimated increase, in inches, of a boy’s height each year?
A) 3 B) 5.7 C) 9.5 D) 14.3 This real SAT problem gave you four answer choices. After looking at the answer choices, its very easy to get caught up in the varied numbers and second guess yourself. However, this is a simple question if you focus on the basics. The equation, h = 3a + 28.6, means that his H or height is equal to 28.6 + 3a. If a is his age, then we can see how with each year of age, he gains 3 times that in height. For example, if he is 2 he gains six inches and if he is 3 he gains nine inches. This means that each year, this boy's height rises 3 inches, as demonstrated (nine inches minus six inches is three!). The correct answer is A.
Sarah is in charge of stocking shelves at a supermarket. Today, she has already stocked 3 boxes that each contained 30 cans of soup, 15 boxes that each contained 7 cans of corned beef hash, and 4 boxes that each contained 20 cans of tuna. How many cans has Sarah stocked today?
You have to approach this problem in its components! Break it down. Sarah has three different types of cans: soup, beef hash, and tuna. SOUP: 3 boxes, and each contain 30 cans. (3 x 30) = 90 cans BEEF: 15 boxes, and each contain 7 cans. (15 x 7) = 105 cans TUNA: 4 boxes, and each contain 20 cans. (4 x 20)= 80 cans Add them up! 90+105+80 = 275 cans
Find the distance between the points (-3 , -2) and (-1 , -1)
The distance d between points (-3 , -2) and (-1 , -1) is given by the distance formula: d = √[ (-1 - (-3))^2 + (-1 - (-2))^2 ] Simplify. d = √(4+1) = √5
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