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20 changes: 8 additions & 12 deletions OpenProblemLibrary/Rochester/setAlgebra28ExpFunctions/ur_le_1_5.pg
Original file line number Diff line number Diff line change
Expand Up @@ -20,6 +20,7 @@ DOCUMENT(); # This should be the first executable line in the problem.

loadMacros(
"PGstandard.pl",
"PGML.pl",
"PGchoicemacros.pl",
"PGgraphmacros.pl",
"PGnumericalmacros.pl",
Expand All @@ -30,8 +31,7 @@ TEXT(beginproblem());
$showPartialCorrectAnswers = 1;

$a = random(2,5,1);
$y = random(2,5,1);
if ($y == $a) {$y = $y+1;}
do {$y = random(2,5,1);} until ($y != $a);
$s = random(-1,1,2);
$b = ln($y/$a)/ln(2);
$a = $a*$s;
Expand All @@ -48,19 +48,15 @@ add_functions($graph1, $fn, $pt0, $pt1);
$label_0 = new Label ( 0.5,$a,"(0,$a)",'black','left','middle'); $graph1->lb($label_0);
$label_1 = new Label ( 1.5,$y,"(1,$y)",'black','left','middle'); $graph1->lb($label_1);

BEGIN_TEXT
BEGIN_PGML
Find the exponential function [`f(x)=a\cdot 2^{b x}`] whose graph is shown below

Find the exponential function \(f(x)=a\cdot 2^{b x}\) whose graph is shown below
$BR
\{ image(insertGraph($graph1), width=>200, height=>200) \}
$BR
\(a=\) \{ans_rule(20)\} $BR
\(b=\) \{ans_rule(20)\}
[!Graph of exponential function passing through points (0,[$a]) and (1,[$y])!]{$graph1}{width=>200, height=>200}

END_TEXT
* [`a=`][____________________]{$a}
* [`b=`][____________________]{$b}

ANS(num_cmp($a));
ANS(num_cmp($b));
END_PGML

ENDDOCUMENT(); # This should be the last executable line in the problem.