Question

use the following to answer #4 - 5. ming is planning to organize a charity run to raise funds for a local community organization. the entry fee for the run is $28 per participant. ming wants to ensure that the total amount collected from the entry fees is greater than $650 to meet the fundraising goal. question 4 a)write an inequality to model the situation, using x to represent the number of participants. b)solve the inequality and fill the solution in the blanks (may be a decimal or fraction). a) ____ x __ __ b) x __ __ question 5 how many runners will need to register in order for ming to meet his fundraising goal? ____ runners will need to register.

Explanation:

Step1: Define variable & inequality

Let $x$ = number of participants. Total entry fees = $8x$, which must exceed $690$:
$8x > 690$

Step2: Solve for x

Divide both sides by 8:
$x > \frac{690}{8} = 86.25$

Step3: Find whole number runners

Since partial runners don't exist, round up to the next whole number: $87$

Answer:

A) $8x > 690$
B) $x > 86.25$
Question 5: 87 runners