VARIABLE EQUATIONS & INEQUALITIES UNIT TEST:

A CAR RENTAL COMPANY CHARGES $100 PLUS $0.25 PER MILE DRIVEN. TYREEK HAS A BUDGET OF $200 FOR HIS RENTAL CAR. HE WROTE THE EQUATION 25X -100=200 TO FIGURE OUT HOW MANY MILES, X, HE CAN DRIVE IN ORDER TO NOT GO OVER HIS BUDGET.
IN 1 OR 2 SHORT SENTENCES, EXPLAIN THE ERROR TYREEK MADE AND THEN WRITE A CORRECT EQUATION.

1 answer

Tyreek made an error by setting the equation as \(25x - 100 = 200\) instead of accounting for his total budget properly; the correct equation should ensure that the total cost of rental remains at or below $200. The correct equation is \(100 + 0.25x \leq 200\), where \(x\) represents the number of miles driven.