Question 156293
# 1


Let's find the function value when {{{x=1}}}:



{{{y=5x-3}}} Start with the given equation.



{{{y=5(1)-3}}} Plug in {{{x=1}}}.



{{{y=5-3}}} Multiply {{{5}}} and {{{1}}} to get {{{5}}}.



{{{y=2}}} Combine like terms.



So if {{{x=1}}}, then {{{y=2}}}.


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Let's find the function value when {{{x=2}}}:



{{{y=5x-3}}} Start with the given equation.



{{{y=5(2)-3}}} Plug in {{{x=2}}}.



{{{y=10-3}}} Multiply {{{5}}} and {{{2}}} to get {{{10}}}.



{{{y=7}}} Combine like terms.



So if {{{x=2}}}, then {{{y=7}}}.


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Let's find the function value when {{{x=4}}}:



{{{y=5x-3}}} Start with the given equation.



{{{y=5(4)-3}}} Plug in {{{x=4}}}.



{{{y=20-3}}} Multiply {{{5}}} and {{{4}}} to get {{{20}}}.



{{{y=17}}} Combine like terms.



So if {{{x=4}}}, then {{{y=17}}}.


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Let's find the function value when {{{x=8}}}:



{{{y=5x-3}}} Start with the given equation.



{{{y=5(8)-3}}} Plug in {{{x=8}}}.



{{{y=40-3}}} Multiply {{{5}}} and {{{8}}} to get {{{40}}}.



{{{y=37}}} Combine like terms.



So if {{{x=8}}}, then {{{y=37}}}.


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Let's find the function value when {{{x=16}}}:



{{{y=5x-3}}} Start with the given equation.



{{{y=5(16)-3}}} Plug in {{{x=16}}}.



{{{y=80-3}}} Multiply {{{5}}} and {{{16}}} to get {{{80}}}.



{{{y=77}}} Combine like terms.



So if {{{x=16}}}, then {{{y=77}}}.


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Now let's make a table of the values we just found.



<a name="table">



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<h4>Table of Values:</h4><pre>

<TABLE border="1" width="100">
<TR><TD>x</TD><TD>y</TD></TR><tr><td>1</td><td>2</td></tr>
<tr><td>2</td><td>7</td></tr>
<tr><td>4</td><td>17</td></tr>
<tr><td>8</td><td>37</td></tr>
<tr><td>16</td><td>77</td></tr>
</TABLE>

</pre>



Since this is a linear equation, this means that the equation experiences linear growth. This is considered moderate growth.