Linear Word Problems: District 6

Finn is swimming at a constant speed. The table compares Finn's distance from the starting point (in meters) and the time since he started (in seconds). Time (s) Distance (m) 6 9.6 14 22.4 22 35.2 What is Finn's speed? ...... m/s

1.6m/s

Two young sumo wrestlers decided to go on a special diet to gain weight rapidly. They each gained weight at a constant rate. The weight (in kilograms) of the first wrestler as a function of time (in months) is given by the following table of values: Time (months) Weight (kg) 3 95 4.5 101.75 6 108.5 If this continues, how much weight will he gain in 1 year?

135.5 kg

Mr. Mole left his burrow and started digging his way down. A(t) models Mr. Mole's altitude relative to the ground (in meters) after t minutes. A(t)= -2.3t- 7 At what rate is Mr. Mole digging? ..... meters per minute

2.3 meters per minute

Jada sells ground paprika. Her weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms) is described in the function: F(p) = 8p -275. What will her profit be if she sells 60 kg of paprika?

200 dollars

Mariana tried to drink a slushy as fast as she could. She drank the slushy at a rate of 4.5 milliliters per second. After 17 seconds, 148.5 ml of slushy remained. How much slushy was originally in the cup? ....... milliliters

225 ml

Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window. H(t) models the height of the tree (in centimeters), t years since Renata moved in. H(t)= 210+33t How fast does the tree grow? ..... centimeters per year

33 centimeters per year

Mariana tried to drink a slushy as fast as she could. She drank the slushy at a rate of 4.5 milliliters per second. After 17 seconds, 148.5 ml of slushy remained. How long did it take Mariana to drink all the slushy? ....... seconds

50 seconds

Mr. Mole left his burrow and started digging his way down. A(t) models Mr. Mole's altitude relative to the ground (in meters) after t minutes. A(t)= -2.3t- 7 How far below the ground does Mr. Mole's burrow lie? ..... meters below the ground

7 meters below the ground

f(x)= 1/3x + 1/2 and q(x) with a y intercept of 0. Which has the greater y-intercept? A. Function f B. Function q

A

Rip van Winkle fell asleep for a very long time. When he fell asleep, his beard was 8 millimeters long, and each passing week it grew 2 additional millimeters. Write a function to show the linear relationship between the length of Rip van Winkle's beard f(b) and time. f(b) = ....

f(b) = 2x+8