STAAR - Slope Review

STAAR - Slope Review

Multiple Choice

California Government discovered the recent wildfires are causing the number of trees to decrease in the Yosemite National Park. The number of trees was approximately 100,000. The number of trees is decreasing at an average rate of 0.03 tree per week.

Which function can be used to find the number of trees in x weeks since the discovery?

• $t\left(x\right)=-0.03\left(x+100,000\right)$

• $t\left(x\right)=100,000+0.03x$

• $t\left(x\right)=0.03\left(x+100,000\right)$

• $t\left(x\right)=100,000-0.03x$

Multiple Choice

What is the equation of the line that passes through the point (3,-7) and has a slope of zero?

• $x=-7$

• $y=3$
  

• $x=3$
  

• $y=-7$
  

Multiple Choice

The function  $y=2.55+1.75\left(x-1\right)$ can be used to determine the cost in dollars for a Uber ride of x miles in Dallas. What is the rate of change of the cost in dollars with respect to the number of miles?

• $2.55 per mile

• $1.75 per mile

• $4.30 per mile

• $0.80 per mile

Multiple Choice

The table shows a linear relationship between x and y.

What is the rate of change of y with respect to x?

• $-\frac{5}{3}$

• $\frac{3}{5}$

• $-\frac{3}{5}$

• $\frac{5}{3}$

Fill in the Blanks

Multiple Choice

What is the equation in slope intercept form of the line that passes through the point (3,7) and (-1,5)?

• y = 1x + 4

• y = .5x - 5.5

• y = 1x - 2

Multiple Choice

The table shows the water temperature related to the water depth. Based on the data, which function models the situation?

• w(t) = -0.12t +24

• w(t) = 0.12t + 24

• w(t) = 24t - 0.12

Multiple Choice

Multiple Choice

The table represents some points on the graph of a linear function. Which function represents the same relationship?

• y = 3x +7

• y = 7x

• y = 0.14x - 0.42

• y = 7x + 3

Multiple Choice

What is the slope of the equation y = -9x + 12?

• 12

• -9

• 9

• $\frac{-9}{12}$

Multiple Choice

What is the slope of the equation y - 5 = 2(x - 3)

• -5

• 2

• -6

• -3

Multiple Choice

What are the equation and slope of the line shown?

• Slope = 0, X = -4

• Slope = 0, Y = -4

• Slope = undefined, X = -4

• Slope = undefined, Y = -4

Multiple Choice

What is the equation of a line that passes through the point (2,5) and has a slope of 0?

• X = 2

• X = 5

• Y = 2

• Y = 5

Multiple Choice

A students work out can be modeled by the percentage remaining as a function of the amount of time they've worked out. Which of these best represents the rate of change of the percentage worked out with respect to the number of minutes passed.

• -1 percent per minute

• -2 percent per minute

• -5 percent per minute

• 2 percent per minute