Quadratic, Linear, and Exponential to Equations

Quiz by Sofia Guerrero

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- Q1
The graph of a linear function is shown on the grid. Which function is best represented by this graph?

$g\backslash left(x\backslash right)=\backslash \; -\backslash frac\{2\}\{3\}x\backslash \; +\backslash \; 4$

$g\backslash left(x\backslash right)=\backslash \; -\backslash frac\{3\}\{2\}x+6$

$g\backslash left(x\backslash right)=6x+4$

$g\backslash left(x\backslash right)=4x\backslash \; -\backslash frac\{2\}\{3\}$

120s - Q2
The table represents some points on the graph of linear function

*f*. Which function represents*f*?$f\backslash left(x\backslash right)=\backslash \; -26\backslash left(2x-1\backslash right)$

$f\backslash left(x\backslash right)=\backslash \; 26\backslash left(x-2\backslash right)$

$f\backslash left(x\backslash right)=13\backslash left(x-2\backslash right)$

$f\backslash left(x\backslash right)=\backslash \; -2\backslash left(26x-1\backslash right)$

120s - Q3
The graph of a linear function is shown on the grid. Which equation is best represented by this graph?

$y+2\backslash \; =\backslash \; \backslash frac\{7\}\{5\}\backslash left(x+7\backslash right)$

$y-2\backslash \; =\backslash \; \backslash frac\{7\}\{5\}\backslash left(x-7\backslash right)$

$y-2=\backslash \; \backslash frac\{5\}\{7\}\backslash left(x-7\backslash right)$

$y+2=\backslash \; \backslash frac\{5\}\{7\}\backslash left(x+7\backslash right)$

120s - Q4
The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the number of meals the feeder has dispensed.

Based on the table, which function models this situation?

$f\backslash left(n\backslash right)=-3n+24$

$f\backslash left(n\backslash right)=\backslash \; -3n\backslash \; +\backslash \; 64$

$f\backslash left(n\backslash right)=\backslash \; -\backslash frac\{1\}\{3\}n\backslash \; +\backslash \; 16$

$f\backslash left(n\backslash right)=\backslash \; -\backslash frac\{1\}\{3\}n\backslash \; +\backslash \; 8$

120s - Q5
At a restaurant jars of tomato sauce are stored in boxes in the pantry. Each box contains 8 jars of tomato sauce. A cook uses 2 jars from 1 of the boxes.

Which function shows the relationship between

*y*, the total number of jars of tomato sauce remaining in the pantry, and*x*, the number of boxes in the pantry?$y=8x+6$

$y=6x$

$y=8x$

$y=8x-2$

120s - Q6
The table represents some points on the graph of a linear function. Which equation represents the same relationship?

$y+268=\backslash \; \backslash frac\{1\}\{12\}\backslash left(x+20\backslash right)$

$y+20=\backslash \; \backslash frac\{1\}\{12\}\backslash left(x+268\backslash right)$

$y+268=12\backslash left(x+20\backslash right)$

$y+20=12\backslash left(x+268\backslash right)$

120s - Q7
A company collected data for the number of text messages sent and received using a text-message application since October 2011. The data table shows the number of text messages sent and received in billions over time. The data can be modeled by a quadratic function.

Which function best models the data?

$n\backslash left(t\backslash right)=0.072t^2-0.15t+2.73$

$n\backslash left(t\backslash right)=-0.002t^2+5.02$

$n\backslash left(t\backslash right)=0.072t^2+2.73$

$n\backslash left(t\backslash right)=-0.002t^2+0.55t+5.02$

120s - Q8
A projectile is launched into the air from the ground. The table shows the height of the projectile,

*h(t)*, at different times.Based on the table, which function can best be used to model this situation?

$h\backslash left(t\backslash right)=99t^2+1,470.3$

$h\backslash left(t\backslash right)=-4.9t^2+295t+0.6$

$h\backslash left(t\backslash right)=99t^2+858$

$h\backslash left(t\backslash right)=\backslash \; -4.9t^2+295t+2$

120s - Q9
The graph shows the number of game consoles sold in millions since 2009. Based on the information, which function best models the number of game consoles sold in millions

*x*years since 2009?$g\backslash left(x\backslash right)=25.5\backslash left(0.6\backslash right)^x$

$g\backslash left(x\backslash right)=6.12\backslash left(25.5\backslash right)^x$

$g\backslash left(x\backslash right)=25.5\backslash left(6.12\backslash right)^x$

$g\backslash left(x\backslash right)=0.6\backslash left(25.5\backslash right)^x$

120s - Q10
The table represents some points on the graph of an exponential function.

Which function represents this relationship?

$f\backslash left(x\backslash right)=16\backslash \; \backslash left(\backslash frac\{2\}\{3\}\backslash right)^x$

$f\backslash left(x\backslash right)=16\backslash left(\backslash frac\{3\}\{2\}\backslash right)^x$

$f\backslash left(x\backslash right)=36\backslash left(\backslash frac\{2\}\{3\}\backslash right)^x$

$f\backslash left(x\backslash right)=36\backslash left(\backslash frac\{3\}\{2\}\backslash right)^x$

120s - Q11
An exponential function is graphed on the grid.

Which function is best represented by the graph?

$g\backslash left(x\backslash right)=6\backslash left(3\backslash right)^x$

$g\backslash left(x\backslash right)=6-\backslash left(3\backslash right)^x$

$g\backslash left(x\backslash right)=6-\backslash left(\backslash frac\{1\}\{3\}\backslash right)^x$

$g\backslash left(x\backslash right)=6\backslash left(\backslash frac\{1\}\{3\}\backslash right)^x$

120s - Q12
The table represents some points on the graph of an exponential function.

Which function represents the same relationship?

$f\backslash left(x\backslash right)=15\backslash left(\backslash frac\{5\}\{6\}\backslash right)^x$

$f\backslash left(x\backslash right)=18\backslash left(\backslash frac\{6\}\{5\}\backslash right)^x$

$f\backslash left(x\backslash right)=15\backslash left(\backslash frac\{6\}\{5\}\backslash right)^x$

$f\backslash left(x\backslash right)=18\backslash left(\backslash frac\{5\}\{6\}\backslash right)^x$

120s