Question

Hannah spends $4.50 each day to buy lunch at her school. After school each day, she buys the same snack. Hannah spends $28.75 for lunch and snacks each week. The equation and solution model the situation. 5(4.50 + x) = 28.75; X = 1.25
What does the solution, X = 1.25 represent?

Answer 1

Answer:

The solution x=1.25 represents the cost of snacks per day.

Step-by-step explanation:

We are given that

Hannah spends money  to buy lunch each day=$4.50

Hannah spends  total money on lunch and snacks each week=$28.75

The equation model the situation is given by

$5(4.50+x)=28.75$

$x=1.25$

Total days in a week in which Hannah goes to school=5

According to given equation

Where 5 =Total days spend  by Hannah in school

$4.50=Cost of lunch per day

$28.75=Cost of lunch and snacks of five days

x=Cost of snacks per day

Therefore, x represents the cost of snacks bought by Hannah each day.

Answer 2

The variable X in the equation that models the amount Hannah spends

each week is the amount she spends on the snack each day.

Response:

• X = 1.25 represents the $1.25 price of the snack Hannah buys each day after launch.

Which method is used for analyzing the given equation and solution?

Given:

The amount Hannah spends on lunch each day at school = $4.50

What Hannah buys each day after school = The same snack

Amount she spends on launch and snacks each week = $28.75

The equation that models the situation is; 5·(4.50 + X) = 28.75

The solution is; X = 1.25

Required:

What X represents in the solution

Solution;

The number of regular school days in a week = 5

By analyzing the equation, we have;

• 5 represents the number of days in the week

Therefore;

The amount Hannah spends on each of the 5 days of school is; (4.50 + x)

Given that Hannah buys only lunch and a snack, and the cost of the

lunch is $4.50, the cost of the snack is the X

Which gives;

• X = 1.25 represents $1.25 Hannah spends on snack each day.

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