Question

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1. y = - 2x + 10
2. y = 2x – 10
3. y = - 2x – 10
4. y = 2x + 10
a. There were 10 pieces of gum in a pack and Lupe ate 2 pieces per day. How many pieces are left in the pack?
b. Jin was on page 10 and read 2 pages every minute. What page is he on?
c. Semaj owes his friend 10 dollars. He pays her back 2 dollars each week. How much does he still owe her?
d. The temperature outside is 10 degrees below zero and it drops 2 degrees per hour. What is the temperature outside?

Answer 1

A. 1; you start at 10 pieces of gum which is a positive amount, making the y-intercept in this case, 10. Lupe is consuming/subtracting 2/1 pieces of gum per day, she is taking away meaning the slope should be negative, in this case the slope is -2.

B. 4; You start at 10 pages which is why you have a positive y-intercept of 10. He is reading 2/1 pages per minute, so the number of pages is increasing, meaning the slope will be positive, in this case 2.

C. 2; He is in debt 10 dollars, which is a negative amount meaning the y-intercept will be negative, in this case -10. He pays 2 dollars each week, he is adding money so the slope will be positive, in this case being 2.

D. 3; the degrees start off negative, which is why the y-intercept will also be negative, in this case -10. The degrees are still dropping at 2 degrees per hour, meaning the slope will be negative, in this case, -2.

Answer 2

1 is a

2 is c

3 is d

4 is b

Explanation:

1. Starting number is 10. Eating 2 pieces per day (x = # of days) is negative

2. To owe someone is negative so the starting number is -10. Then giving $2 per week (x= # of weeks) is positive

3. 10 is below zero so it means negative. The temp drops (negative) 2 per hour (x = hours)

4. Starting on page 10 is positive. Reading 2 pages adds 2 every minute ( x = number of minutes)