internet service provider had a total of 17,156 customers last year. They gained a net of 1,802 customers this year. They hope to reach at least 35,000 customers in ten years. Estimate the number of customers they need to reach their goal.(1 point)

They need approximately ________ more customers to reach their goal.

9 answers

To estimate the number of customers they need to reach their goal of at least 35,000 customers in ten years, we first need to determine their current total customer count.

  1. Last year, they had 17,156 customers.

  2. This year, they gained a net of 1,802 customers:

    \[ \text{Current Customers} = 17,156 + 1,802 = 18,958 \]

  3. Their goal is to have at least 35,000 customers. Now, we calculate how many more customers they need:

    \[ \text{Customers Needed} = 35,000 - 18,958 = 16,042 \]

Thus, they need approximately 16,042 more customers to reach their goal of at least 35,000 customers in ten years.

Estimate

To estimate the number of customers they need to reach their goal of at least 35,000 customers in ten years, we can round numbers for simplification:

  1. Current Customers: They currently have approximately 19,000 customers (rounding 18,958).

  2. Goal: The goal is to reach 35,000 customers.

  3. Calculation of Customers Needed:

    \[ \text{Customers Needed} \approx 35,000 - 19,000 = 16,000 \]

Therefore, they need approximately 16,000 more customers to reach their goal.

Estimate the value of x given this equation: 4x−189=578 .(1 point)
Responses

150
150

100
100

200
200

160

To estimate the value of \( x \) in the equation \( 4x - 189 = 578 \), we can solve for \( x \) as follows:

  1. Add 189 to both sides of the equation:

    \[ 4x = 578 + 189 \]

    \[ 4x = 767 \]

  2. Now, divide both sides by 4:

    \[ x = \frac{767}{4} \]

    \[ x = 191.75 \]

  3. The estimated value of \( x \) is approximately \( 192 \).

Looking at your provided responses, none match exactly; however, the closest estimates to 192 would be 200.

So, if you're looking for an estimate from the options you provided, the response would be 200.

A carnival wants to estimate its total potential revenue on popcorn sales. They have 19,717 grams of popcorn kernels, and each serving uses 196 grams. Each serving sells for $5. If they sell all the popcorn, approximately how much potential revenue will the carnival make?(1 point)
Responses

$100
$100

$950
$950

$475
$475

$500

To estimate the total potential revenue from popcorn sales, we can follow these steps:

  1. Determine the number of servings:

    • The carnival has 19,717 grams of popcorn kernels.
    • Each serving uses 196 grams.

    \[ \text{Number of servings} = \frac{19,717 \text{ grams}}{196 \text{ grams/serving}} \approx 100.1 \]

    Since we cannot have a fraction of a serving, we can round this down to 100 servings.

  2. Calculate the potential revenue:

    • Each serving sells for $5.

    \[ \text{Total potential revenue} = 100 \text{ servings} \times 5 \text{ dollars/serving} = 500 \text{ dollars} \]

Therefore, the carnival's approximate total potential revenue from popcorn sales is $500.

A food pantry needs 1,021 cans of tomatoes. A local school collected donations and gave the food pantry 689 cans of tomatoes. The food pantry will need to buy the rest. If they can buy the cans for $0.95 each, approximately how much money will they spend?(1 point)
Responses

$300
$300

$400
$400

$500
$500

$350

To determine how much money the food pantry will spend on the remaining cans of tomatoes, follow these steps:

  1. Calculate the number of cans needed:

    • Total cans needed: 1,021
    • Cans collected from the school: 689

    \[ \text{Cans needed} = 1,021 - 689 = 332 \]

  2. Calculate the total cost for the cans:

    • Cost per can: $0.95

    \[ \text{Total cost} = 332 \text{ cans} \times 0.95 \text{ dollars/can} \approx 315.4 \]

  3. Round the total cost:

    • Approximately, the food pantry will spend around $315.

From the given options, the closest approximate amount is $300.