Question

Your first six-month auto insurance premium was $629.00. Based on your driving record, your renewal premium is $786.25. What percent increase did you see in your premium?

8%
20%
оооо
25%
32%

Answer 1

Hello!

Answer:

`\Large \boxed{\sf 25\%}`

Explanation:

→ We want to calculate the percentage increase we saw in our premium.

→ To calculate the percentage increase we saw in our premium, let's calculate the difference between our first six-month car insurance premium and our renewal premium:

`\sf 786.25 - 629.00 = 157.25`

→ Calculate the percentage:

→ The formula used to calculate the percentage is:

`\sf (value)/(total ~value) * 100\%`

→ Apply this formula with value = 157.25 and total value = 629.00:

`\sf (157.25)/(629.00) *100\%`

→ Simplify the expression:

`\sf (157.25)/(629.00) *100\%\\\\\\= 0.25 *100\%\\\\\\= 0.25 * (100)/(100) \\\\\\= (0.25 * 100 )/(100) \\\\\\= (25)/(100) \\\\\\\boxed{\sf= 25\%}`

Conclusion:

The percentage increase we saw in our premium is 25%.