Alang buys bottles of pineapple juice at the corner store. Assume each bottle of juice is the same price. The proportional relationship between the number of juice bottles bought, j, and the total cost in dollars and cents, c, can be represented by the equation c, equals, 1, point, 1, 8, jc =1.18j. What is the cost in dollars and cents of each bottle of juice?

Answer 1

Each bottle of juice costs $1.18.

Answer 2

Riley practices the piano 448 minutes in 4 weeks. If t represents the total time she practices for any number of days, d, write a proportional equation for t in terms of d that matches the context.

Answer 3

To find a proportional equation for the total time Riley practices in terms of the number of days, we need to first determine the total number of days in 4 weeks. If we assume each week has 7 days, then 4 weeks have a total of 4 x 7 = 28 days.

Now, we can set up a proportional equation for the total time practiced and the number of days as follows:

Let t be the total time practiced in minutes,
Let d be the total number of days,

We can set up the proportionality as:
t = (448 / 28) * d
t = 16d

Therefore, the proportional equation for the total time, t, practiced in terms of the number of days, d, is t = 16d.

Answer 4

Stella went shopping for a new camera because of a sale. The store was offering a 20% discount. If the price on the tag was $23, what would be the price after the discount but before tax, to the nearest dollar and cent?

Answer 5

To calculate the price after a 20% discount, we need to multiply the original price by 0.80 (the remaining 80% of the original price after subtracting the 20% discount).

Original price: $23
After 20% discount: $23 * 0.80 = $18.40

Therefore, the price after the discount but before tax would be $18.40.

Answer 6

The population of a city increases by 3.5% per year. If this year's population is 292,000, what will next year's population be, to the nearest individual?

Answer 7

To find next year's population, we need to increase this year's population by 3.5%.

First, calculate the increase in population:
Increase = 292,000 * 0.035 = 10,220

Next, add this increase to the current population:
Next year's population = 292,000 + 10,220 = 302,220

Therefore, next year's population will be approximately 302,220.

Answer 8

The population of a city increases by 2% per year. If this year's population is pp, which expression represents next year's population?

Answer 9

If this year's population is represented by p, the expression for next year's population taking into account a 2% increase would be:
p + 0.02p
= p(1 + 0.02)
= p(1.02)

Therefore, next year's population can be represented by the expression p(1.02).

Answer 10

Marques was out at a restaurant for dinner when the bill came. He wanted to leave a 18% tip. If dinner cost dd dollars and cents, which expression represents the cost of dinner plus tip?

Answer 11

If the cost of dinner is represented by d dollars and cents, the expression for the cost of dinner plus an 18% tip can be represented as follows:

Cost of dinner plus tip = Cost of dinner + 18% of the cost of dinner
= d + 0.18d
= d(1 + 0.18)
= d(1.18)

Therefore, the expression that represents the cost of dinner plus the 18% tip is d(1.18).