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Four friends want to take a vacation together, so each one gets a part-time job. Each person has 8 weeks to save $720 for the vacation. Analyze the four individual plans below and decide which of the four people will reach his or her goal of saving $720 for vacation. Friend A: Works 13 hours per week at $6. 95 per hour. Friend B: Works 15 hours per week at $5. 85 per hour. Friend C: Works 18 hours per week at $5. 25 per hour. Friend D: Works 11 hours per week at $7. 80 per hour. A. A and C b. A and D c. B and C d. B and D Please select the best answer from the choices provided A B C D.

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Answer:

A: A and C will have enough money.

Step-by-step explanation:

A:

13h/w × 6.95$/h => 90.35$/w × 8 weeks = 722.8$

B:

15h/w × 5.85$/h => 87.75$/w × 8 weeks = 702.0$

C:

18h/w × 5.25$/h => 94.5$/w × 8 weeks = 756.0$

D:

11h/w × 7.8$/h => 85.8$/w × 8 weeks = 686.4$

You can use the fact that summing something P times is equal to multiplying that thing with P.

Those who could save the needed amount were:

Option A: A and C

How to add something P times?

Let you have to add a value y p times. Then you write it as:

[tex]y + y + ... + y \text{\: (P times)}\\= y \times P[/tex]

How to calculate how much each friend earned?

checking total money each friend earned:

  • Friend A : worked 13 hours per week at $6.95/hour rate.

Since in 1 week, A works 13 hour, thus, in 8 weeks, he works

[tex]13 \times 8 = 184 \: \rm hours[/tex]

Each hour he earns $6.95, thus, for 184 hours, he will earn

[tex]6.95 + 6.95 + ... + 6.95 \text{\:(184 times)}\\= 6.95 \times 184 = \$1278.8[/tex]

Similarly,

  • Friend B: worked 15 hours per work at $5.85/hour rate

B earned [tex]15 \times 8 \times 5.85 = \$702[/tex]

  • Friend C: worked 18 hours per work at $5.25/hour rate

B earned [tex]18 \times 8 \times 5.25 = \$756[/tex]

  • Friend D: worked 11 hours per work at $7.80/hour rate

B earned [tex]11 \times 8 \times 7.8 = \$686.4[/tex]

Only friend A and friend C could earn more than or equal to $750

Thus,

Those who could save the needed amount were:

Option A: A and C

Learn more about multiplication here:

https://brainly.com/question/520497

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