A family spends $35.00 on 5 drinks and 5 bags of popcorn at the movie theater. Each drink costs $1.75 and each bag of popcorn costs x dollars. The equation models this relationship.5(x+1.75)=35 How much does 1 bag of popcorn cost?

$5.25

Step-by-step explanation:

The question says that a family probably attended an event(they probably went to watch a movie show) and ordered for 5 bags of popcorn and 5 drinks at the theater.

And it also says that each drink costs $1.75 dollars and a bag of popcorn costs?.

But we were given the equation which models the relationship as 5(x+1.75)=35.

With this equation we will be able to find out how much each bag of popcorn costs and if possible,we can also calculate how much 10 bags of popcorn and 9 drinks costs and vice versa all just for fun.

Back to business,

5(x+1.75)= 35

Open up the bracket and we will have:

5x+8.75= 35

Subtract 8.75 from both side:

5x+8.75 - 8.75= 35 - 8.75

5x= 26.25

Now divide both sides by 5 so as to get x

5x/5= 26.25/5

X= $5.25

Therefore,the price of each bag of popcorn is $5.25

a)

$4,000 + $960 = $4,960

She has $4,960 in her account at the end of 3 years

b)

i = Prt

r = i/Pt

r = 960 / 4000 * 3

r = 960 / 12000

r = 0.08

Annual interest rate is 0.08 or 8%

c) If 1% greater then r = 0.09 (9%)

i = Prt

i = $4,000 * 0.09 * 3

i = $1, 080

The different: $1, 080 - $960 = $120

She would have $120 more in her account if the interest rate were 1% greater.