Question 1 Which table shows a proportional function? A. B. C. X 5 10

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Presentation transcript:

Question 1 Which table shows a proportional function? A. B. C. X 5 10 5 10 Y 3 15 30 X 5 10 Y 20 30 X 5 10 Y 50 100

What is the formula for the Constant of Proportionality? A. Y = KX B. X = 𝑌 𝑥 C. 𝐾= 𝑌 𝑋 D. 𝐾=𝑌𝑋

What is the equation for a line that is proportional A. Y = KX B. K = YX C. 𝑌= 𝐾 𝑋 D. X = YX

What is the slope and the y-intercept of the function shown in the table? A. m = -2 ; b = -4 B. m = -2; b = 4 C. m = 2 ; b = 4 D. M = 4; b = 2 X 1 4 7 Y 6 12 18

What is the missing Number in the chart? X 4 5 6 7 Y 14 17.5 24.5 A. 20 B. 21 C. 22 D. 23

What is the definition of a function? Each input has one output.

What is the equation for slope? A. 𝑚= 𝑌 1 − 𝑌 2 𝑋 1 − 𝑋 2 B. 𝑚= 𝑌−𝑋 𝑋−𝑌 C. 𝑚= 𝑌 2 − 𝑌 1 𝑋 2 − 𝑋 1 D. 𝑚= 𝑋 2 − 𝑋 1 𝑌 2 − 𝑌 1

What is the slope of the line given the two points: 3,−8 𝑎𝑛𝑑 (7,12) B. 1 C. − 4 10 D. − 20 4

𝑊ℎ𝑎𝑡 𝑖𝑠 𝑡ℎ𝑒 𝑠𝑙𝑜𝑝𝑒 𝑎𝑛𝑑 𝑡ℎ𝑒 𝑖𝑛𝑖𝑡𝑖𝑎𝑙 𝑣𝑎𝑙𝑢𝑒 𝑖𝑛 𝑡ℎ𝑒 𝑒𝑞𝑢𝑎𝑡𝑖𝑜𝑛 : 𝑌=−3𝑥+12 𝑊ℎ𝑎𝑡 𝑖𝑠 𝑡ℎ𝑒 𝑠𝑙𝑜𝑝𝑒 𝑎𝑛𝑑 𝑡ℎ𝑒 𝑖𝑛𝑖𝑡𝑖𝑎𝑙 𝑣𝑎𝑙𝑢𝑒 𝑖𝑛 𝑡ℎ𝑒 𝑒𝑞𝑢𝑎𝑡𝑖𝑜𝑛 : 𝑌=−3𝑥+12 A. m = 12 and b = 3 B. m = -3 and b = 12 C. m = 3 and b = 12 D. m = -3 and b = 9

Complete the table using the equation: Y= 3x +2 -1 1 Y

Find the slope and y-intercept of the line.

The slope of the line is 3 2 and the initial value is -4 The slope of the line is 3 2 and the initial value is -4. What is the equation of the line in slope intercept form A. Y= 3 2 𝑋+ −4 B. 𝑌= 3 2 −4 C. 𝑌=−4𝑥+ 3 2 D. 𝑌=−3.5𝑥 Correct Answer: A because 𝑦= 3 2 𝑋+ −4 𝑖𝑠 𝑡ℎ𝑒 𝑠𝑎𝑚𝑒 𝑎𝑠 𝑦= 3 2 𝑋 −4

Graph the equation y = 2x -3

Does the table represent a proportional or a non-proportional linear relationship? X 1 2 3 4 5 Y 8 12 16 20

What is 0.00000598 written in scientific notation? B. 5.98× 10 −5 C. 59.8× 10 −6 D. 59.8×10^−7

IS this line proportional? Explain.

Which Equation represents a non-proportional relationship B. 𝑦=3𝑥+5 C. 𝑦=−3𝑥 D. 𝑦= 1 3 𝑥 Correct answer is : B because the initial value is (0,5) or b = 5. It does not start at the origin!

Given point: ( 1, 3) slope: -3/2 Graph The line

Word Problem Ceasar loves to collect baseball cards ever since his dad gave him 2 cards for his birthday. Afterwards, he began collecting 4 baseball cards for each week. A. Write an equation in slope intercept form. B. How many baseball cards would he have after 30 weeks of collecting?

Word Problem In order to sign up at Blink Fitness, you have to pay a one time fee of $30 and $15 per month after you become a member. Write the linear equation to represent the amount of money you pay after a certain number of months in slope intercept form. How much money would you pay after 17 months.

Word Problem There are two ways to get an I-phone. First Way: You buy a plan from the service company that will charge you $70 per month and the I-phone would cost $100. Second Way: You buy an I-phone from apple for $750 and go to a cell-phone carrier such as AT&T or T-Mobile and pay $35 per month. Write the linear equation for both scenarios in slope intercept form. Which Deal would you get and why?