To find 10, Beau found 32 = 9 and 42 = 16. He said that since 10 is between 9 and 16, 10 is between 3 and 4. Beau thinks a good estimate for 10 is = 3.5. Is his estimate high or low? How do you know?

Can anyone help please I’m really struggling and online schooling isnt helping either

Given that:

Consider it is instead of 10 on two places.

is between 3  and 4. So, Beau thinks a good estimate for is = 3.5.

Solution:

To find , Beau found 3² = 9 and 4² = 16.

He said that since 10 is between 9 and 16.

Since 10 is close to 9, therefore must be close to 3. So, Beau's estimate is high.

Now,

Since, 10 lies between 9.61 and 10.24, therefore must be lies between 3.1 and 3.2.

Therefore, the estimated value of is 3.15.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).