Question

a college board began reporting exam scores with a new scale in 2002, suppose the college requires a new scale score greater than or equal to result in admission to this college, complete parts (a) and (b). (a) write an inequality in terms of x to represent the problem. 0.89x + 126.5127 ≥ 1500 (type an inequality. do not simplify.) solve the above inequality algebraically. (type an inequality. round to the nearest whole number as needed.)

Explanation:

Step1: Isolate the x term

Subtract 126.5127 from both sides.
$0.89x + 126.5127 - 126.5127 \geq 1500 - 126.5127$
$0.89x \geq 1373.4873$

Step2: Solve for x

Divide both sides by 0.89.
$x \geq \frac{1373.4873}{0.89}$
$x \geq 1543.244157...$

Step3: Round to whole number

Round up to nearest integer.
$x \geq 1543$

Answer:

$x \geq 1543$