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Question 1 (1 point)

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A truck rental company charges $19.95 to rent a truck plus $0.24 per mile driven. Find the cost to rent a truck and drive 188 miles.

Question 1 options:

$188

$45.12

$19.95

$65.07

Question 2 (1 point)

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A landscaping company ordered 17 plants and 8 trees for a total of $964. If plants are $12 each, write and solve a linear equation to find the cost for each tree.

Question 2 options:

$204

$95

$760

$8

Question 3 (1 point)

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A company offers premium cable for $39.95 per month plus a one-time setup fee. The total cost for setup and 6 months of service is $264.70. Write and solve a linear equation to find the total cost for 2 years (24 months) of service.

Question 3 options:

$264.70

$239.70

$24

$983.80

Question 4 (1 point)

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A home security company provides security systems for $5 per week, plus an installation fee. The total fee for 12 weeks of service is $210. Write and solve a linear equation to find the cost of the installation fee.

Question 4 options:

$150

$5

$60

$210

Question 5 (1 point)

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You are buying hamburgers and chicken for a party. The hamburgers cost $2.75 per pound and the chicken is $3.50 per pound. If you have $75 to spend, write and solve a linear equation to find how many pounds of chicken you can afford if you buy 12 pounds of hamburgers.

Question 5 options:

33 pounds

3.5 pounds

12 pounds

42 pounds

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just the right answers

Answer 1

Here are the correct answers for each question:

Question 1:
To find the total cost for renting the truck and driving 188 miles:

• Cost = Rental fee + (Cost per mile × miles driven)
• Cost = $19.95 + ($0.24 × 188)
• Cost = $19.95 + $45.12 = $65.07

Answer: $65.07

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Question 2:
Let \( x \) be the cost of each tree. The equation is:

• 17 plants × $12 + 8 trees × \( x \) = $964
• \( 204 + 8x = 964 \)
• \( 8x = 964 - 204 \)
• \( 8x = 760 \)
• \( x = 95 \)

Answer: $95

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Question 3:
Let \( x \) be the setup fee. The equation is:

• \( x + (39.95 × 6) = 264.70 \)
• \( x + 239.70 = 264.70 \)
• \( x = 264.70 - 239.70 = 25 \)

To find the total cost for 2 years (24 months):

• Total cost = setup fee + (39.95 × 24)
• Total cost = 25 + (39.95 × 24)
• Total cost = 25 + 958.80 = 983.80

Answer: $983.80

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Question 4:
Let \( x \) be the installation fee. The equation is:

• \( x + (5 × 12) = 210 \)
• \( x + 60 = 210 \)
• \( x = 210 - 60 = 150 \)

Answer: $150

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Question 5:
Let \( y \) be the pounds of chicken you can buy.

• The cost equation is:
• \( 2.75(12) + 3.50y \leq 75 \)
• \( 33 + 3.50y \leq 75 \)
• \( 3.50y \leq 75 - 33 \)
• \( 3.50y \leq 42 \)
• \( y \leq 12 \)

Answer: 12 pounds

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So the final answers are:

1. $65.07
2. $95
3. $983.80
4. $150
5. 12 pounds