Math / Algebra

QuestionIrma needs to make $b$ batches of blueberry scones this weekend for her family's brunch party. She needs 2 cartons of blueberries for each batch, and each carton costs $\$ 4$ .
Pick all the expressions that represent how much Irma will spend on blueberries.
4(2b) $2+4 b$ $4\left(b^{2}\right)$ $8 b$

Studdy Solution

STEP 1

What is this asking? How much will Irma spend on blueberries if she needs 2 cartons per batch at \$4 each, and she's making $b$ batches? Watch out! Don't mix up the number of batches with the cost of each carton!

STEP 2

1. Calculate the cost of blueberries per batch.
2. Calculate the total cost for all batches.

STEP 3

Irma needs 2 cartons of blueberries for each batch, and each carton costs $\$4$ .
To find the cost per batch, we multiply the number of cartons needed by the cost per carton.
It's like saying, "Okay, for one batch, I need 2 cartons times \$4 each, so..."

STEP 4

$2 \cdot \$4 = \$8$ So, each batch costs $\$8$ worth of blueberries!

STEP 5

Now, Irma is making $b$ batches.
We know each batch costs $\$8$ , so to find the total cost, we multiply the cost per batch by the number of batches.
Think of it like, "If each batch is $\$8$ , and I'm making $b$ batches, then I multiply $\$8$ by $b$ ..."

STEP 6

$\$8 \cdot b = \$8b$ That's it!
The total cost of blueberries is $\$8b$ .

STEP 7

Let's look at the other provided expressions.
We found that the cost per batch is $2 \cdot \$4 = \$8$ .
If we multiply this by the number of batches, $b$ , we get $\$8 \cdot b$ , or $8b$ .
This matches one of the choices!
The expression $4(2b)$ simplifies to $8b$ , which also matches our result.
The other expressions, $2+4b$ and $4(b^2)$ , don't represent the correct calculations for this problem.

STEP 8

The correct expressions are $4(2b)$ and $8b$ .

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Studdy Solution

STEP 1

What is this asking? How much will Irma spend on blueberries if she needs 2 cartons per batch at \$4 each, and she's making \(b\) batches? Watch out! Don't mix up the number of batches with the cost of each carton!

STEP 2

1. Calculate the cost of blueberries per batch.
2. Calculate the total cost for all batches.

STEP 3

Irma needs 2 cartons of blueberries for each batch, and each carton costs $\$4$ .
To find the cost per batch, we multiply the number of cartons needed by the cost per carton.
It's like saying, "Okay, for one batch, I need 2 cartons times \$4 each, so..."

STEP 4

$2 \cdot \$4 = \$8$ So, each batch costs $\$8$ worth of blueberries!

STEP 5

Now, Irma is making $b$ batches.
We know each batch costs $\$8$ , so to find the total cost, we multiply the cost per batch by the number of batches.
Think of it like, "If each batch is $\$8$ , and I'm making $b$ batches, then I multiply $\$8$ by $b$ ..."

STEP 6

$\$8 \cdot b = \$8b$ That's it!
The total cost of blueberries is $\$8b$ .

STEP 7

STEP 8

The correct expressions are $4(2b)$ and $8b$ .

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Studdy Solution

STEP 1

What is this asking? How much will Irma spend on blueberries if she needs 2 cartons per batch at \$4 each, and she's making \(b\) batches? Watch out! Don't mix up the number of batches with the cost of each carton!

STEP 2

1. Calculate the cost of blueberries per batch.2. Calculate the total cost for all batches.

STEP 3

Irma needs **2 cartons** of blueberries for each batch, and each carton costs $4\$4$4.To find the cost *per batch*, we **multiply** the number of cartons needed by the cost per carton.It's like saying, "Okay, for *one* batch, I need 2 cartons times \$4 each, so..."

STEP 4

2⋅$4=$8 2 \cdot \$4 = \$8 2⋅$4=$8 So, each batch costs $8\$8$8 worth of blueberries!

STEP 5

Now, Irma is making bbb batches.We know each batch costs $8\$8$8, so to find the **total cost**, we **multiply** the cost per batch by the number of batches.Think of it like, "If each batch is $8\$8$8, and I'm making bbb batches, then I multiply $8\$8$8 by bbb..."

STEP 6

$8⋅b=$8b \$8 \cdot b = \$8b $8⋅b=$8b That's it!The total cost of blueberries is $8b\$8b$8b.

STEP 7

STEP 8

The correct expressions are 4(2b)4(2b)4(2b) and 8b8b8b.

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1. Calculate the cost of blueberries per batch.
2. Calculate the total cost for all batches.

Irma needs 2 cartons of blueberries for each batch, and each carton costs $\$4$ .
To find the cost per batch, we multiply the number of cartons needed by the cost per carton.
It's like saying, "Okay, for one batch, I need 2 cartons times \$4 each, so..."

$2 \cdot \$4 = \$8$ So, each batch costs $\$8$ worth of blueberries!

Now, Irma is making $b$ batches.
We know each batch costs $\$8$ , so to find the total cost, we multiply the cost per batch by the number of batches.
Think of it like, "If each batch is $\$8$ , and I'm making $b$ batches, then I multiply $\$8$ by $b$ ..."

$\$8 \cdot b = \$8b$ That's it!
The total cost of blueberries is $\$8b$ .

The correct expressions are $4(2b)$ and $8b$ .