Question

justine is raking yards for $22 per yard to earn money for a car. so far she has $2150 saved. the car justine wants to buy is costs at least $8290
a) write an inequality to show how many more yards justine needs to rake
to earn enough money to buy the car.
b) solve the inequality

Explanation:

Step1: Define variable for yards

Let $x$ = number of additional yards raked.

Step2: Set up the inequality

Saved money + earnings ≥ car cost
$2150 + 22x \geq 8290$

Step3: Isolate the term with $x$

Subtract 2150 from both sides:
$22x \geq 8290 - 2150$
$22x \geq 6140$

Step4: Solve for $x$

Divide both sides by 22:
$x \geq \frac{6140}{22}$
$x \geq 279.09$
Since yards are whole numbers, $x \geq 280$

Answer:

a) $2150 + 22x \geq 8290$
b) $x \geq 280$ (Justine needs to rake at least 280 more yards)