Module 1/ Topic 3 Test Answers

The scatterplot shows the number of minutes spent reading (x) and the number of pages read (y) by each of seven students last night. Use the labeled points to create a linear model that predicts the number of pages that a typical student reads in x minutes. Which equation represents this linear model?

Which is the standard form of the equation of the parabola that has a vertex of (–4, –3) and a directrix of x = 2?

The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x2 + 100 models the data in the table.

For which scatterplot is the correlation strongest?

Gabriella is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by where x and y are measured in inches. Where should she place the bulb to ensure a perfect beam of light?

Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Select two options.y = x2 + 5x + 10y + 5x = x2 + 10 + 4x – 100 = x2 – 9x0 = x2 – 9x + 20One x-value of a solution to the system is 4.

Samara is adjusting a satellite because she finds it is not focusing the incoming radio waves perfectly. The shape of her satellite can be modeled by where x and y are modeled in inches. She realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?

Rene is designing a satellite that is the shape of a parabola that opens upward with a diameter of 8 in. and a depth of 2 in. The feed antenna focuses the incoming radio waves. At what point should the feed antenna be placed?

Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?

The scatterplot shows the number of minutes Tyler played in his last eight basketball games and the points he scored in each game. Estimate the location of the line of best fit. About how many points would Tyler score if he played for 40 minutes?

The table shows a company’s profit based on the number of pounds of food produced.

Which quadratic inequality does the graph below represent?