Linear Word Problems

Which application should you use to solve the given problem?

A group of mountain climbers begin an expedition with 250 pounds of food. They plan to eat a total

of 12 pounds of food per day. Write and solve a linear equation to find the number of days their

food will last.

• Slope-Intercept

• Standard Form

• Point & Slope

• Two Points

Answer explanation

$y=-12x+250$

Which application should you use to solve the given problem?

The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. Write and solve an equation to find the cost of 4 lessons.

• Slope-Intercept

• Standard Form

• Point & Slope

• Two Points

Answer explanation

 $\left(7,82\right)\left(11,122\right)$ 

Which application should you use to solve the given problem?

A landscaping company ordered 17 plants and 8 trees for a total of $964. If plants are $12 each. Write and solve a linear equation to find the cost for each tree.

• Slope-Intercept

• Standard Form

• Point & Slope

• Two Points

Answer explanation

 $17x+8y=964$ 

Which application should you use to solve the given problem?

An airplane at 30,100 feet above the ground begins descending at the rate of 2,150 feet per minute. Write and solve a linear equation to find how many minutes it will take the plane to reach the ground.

• Slope-Intercept

• Standard Form

• Point & Slope

• Two Points

Answer explanation

 $y=-2150x+31000$ 

What is Slope-Intercept Form?

• $y-y_1=m\left(x-x_1\right)$

• $\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}$

• $Ax+By=C$

  
  

• $y=mx+b$

What is Standard Form?

• $y-y_1=m\left(x-x_1\right)$

• $\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}$

• $Ax+By=C$

  
  

• $y=mx+b$

What is Point-Slope Form?

• $y-y_1=m\left(x-x_1\right)$

• $\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}$

• $Ax+By=C$

  
  

• $y=mx+b$

What is the Slope Formula?

• $y-y_1=m\left(x-x_1\right)$

•  $\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}=m$ 

• $Ax+By=C$

  
  

• $y=mx+b$

Which application should you use to solve the given problem?

ChitChat Wireless charges $0.30 per minute plus a monthly base fee. In September, Maggie used120 minutes and her bill was $51. Write and solve an equation to find the cost if Maggie uses 165 minutes in October.

• Slope-Intercept

• Standard Form

• Point & Slope

• Two Points

Answer explanation

 $m=0.30\ \ \ \left(120,51\right)$ 

Which application should you use to solve the given problem?

A candlestick burns at a rate of 0.2 inches per hour. After eight straight hours of burning, the candlestick is 13.4 inches tall. Write and solve a linear equation to find the original height of the candle.

• Slope-Intercept

• Standard Form

• Point & Slope

• Two Points

Answer explanation

 $m=-0.2\ \ \ \left(8,13.4\right)$