Jackie has two summer jobs. She works as a tutor, which pays $12 per hour,and she works as a lifeguard,which pays $9.50 per hour. She can work no more than 20 hours per week,but she wants to earn atleast $220 per week. Which of the following systems of inequalities represents this situation in terms of x and y,where x is the number of hours she tutors and y is the number of hours she works as a lifeguard?

$12 x + 9.5 y \leq 220$
$x + y \geq 20$

$12 x + 9.5 y \geq 220$
$x + y \leq 20$

$12 x + 9.5 y \geq 220$
$x + y \geq 20$

Video Solution

Answer

Step by step video & image solution for Jackie has two summer jobs. She works as a tutor, which pays $12 per hour,and she works as a lifeguard,which pays $9.50 per hour. She can work no more than 20 hours per week,but she wants to earn atleast $220 per week. Which of the following systems of inequalities represents this situation in terms of x and y,where x is the number of hours she tutors and y is the number of hours she works as a lifeguard? by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams.

Updated on:21/07/2023

Class 12 MATHS QUESTION BANK

Knowledge Check

Question 1 - Select One
Marisa needs to hire at least 10 staff members for an upcoming project. The staff members will be made up of junior directors, who will be paid $640 per week, and senior directors, who will be paid $880 per week. Her budget for paying the staff members is no more than $9,700 per week. She must hire at least 3 junior directors and at least 1 senior director. Which of the following systems of inequalities represents the conditions described if x is the number of junior directors and y is the number of senior directors?
A $640 x + 880 y \geq 9, 700$
$x + y \leq 10$
$x > 3$
$y \geq 1$
B $640 x + 880 y \leq 9, 700$
$x + y \geq 10$
$x \geq 3$
$y \geq 1$
C $640 x + 880 y \geq 9, 700$
$x + y \geq 10$
x lt 3
$x \leq 3$
$y \leq 1$
D $640 x + 880 y \leq 9, 700$
$x + y \leq 10$
$x \leq 3$
$y \leq 1$
Question 1 - Select One
Which expression represents the number of hours in w weeks and d days?
A $7 w + 12 d$
B $84 w + 24 d$
C $168 w + 24 d$
D $168 w + 60 d$
Question 1 - Select One
Francine sells advertising time packages for a local television station. She is able to make up to 15 sales calls per week offering potentila advertisers either a prime time package for $$ 12, 000$ or a non prime time package for $$ 8, 000 .$ Her weekly sales goal is to sell more than $$ 20, 000$ worth of advertising. Which of the following systems of inequalities represents this situation in terms of p, the number of prime time packages Francine sells in a week, n, the number of non prime time packages, and u, the number of unsuccessful sales calls for whihic she sells neither offering ?
A $p + n + u \leq 15$
$12, 000 p + 8, 000 n > 20, 000$
B $p + n + u \geq 15$
$12, 000 p + 8, 000 n > 20, 00$
C $p + n + u \leq 15$
$12, 000 p + 8, 000 (n + u) > 20, 000$
D $p + n + u \leq 15$
$12, 000 p + 8, 000 n < 20, 000$
Question 1 - Select One
Lennon has 6 hours to spend in Ha Ha Tonka state park. He plants to drive around the park at an average speed of 20 miles per hour, looking for a good trail to hike. Once he finds a trail he likes, he will spend the remainder of his time hiking it. He hopes to travel more than 60 miles total while in the park. If he hikes at an average speed of 1.5 miles per hour, which of the following system of inequalities can be solved for the number of hours Lennon spends driving d, and the number of hours he spends hiking,h, while he is at the park?
A $1.5 h + 20 d > 60$
$h + d \leq 6$
B $1.5 h + 20 d > 60$
$h + d \geq 6$
C $1.5 h + 20 d < 60$
$h + d \geq 360$
D $20 h + 1.5 d > 6$
$h + d \leq 60$
Question 1 - Select One
Which expression represents 72 kilometers per hour expressed as meters per hour?
A $7.2 \times 10^{- 2}$
B $7.2 \times 10^{2}$
C $7.2 \times 10^{- 3}$
D $7.2 \times 10^{4}$
Question 1 - Select One
A man earns $40 for a period of 5 hours that he works per day. Thereafter , for every additional hour , he earns $5 per hour. If the man earns $P in a day working for t hours, where $t > 5$ and is an integer , and $P \leq 60$ , which of the following sets of value of P and t satisfy the above conditions ?
AP = 60 , t = 10
BP = 55, t = 10
CP = 50 , t = 9
DP = 50, t = 7
Question 1 - Select One
Ken is working this summer as part of a crew on a farm. He earned $8 per hour for the first 10 hours he worked this week. Because of his performance, his crew leader raised his salary to $10 per hour for the rest of the week. Ken saves 90% of his earnings from each week. What is the least number of hours he must work the rest of the week to save at least $270 for the week?
A38
B33
C22
D16

Knowledge Check

Which expression represents the number of hours in w weeks and d days?

Which expression represents 72 kilometers per hour expressed as meters per hour?

Similar Questions

Recommended Questions

Knowledge Check

Which expression represents the number of hours in w weeks and d days?

Which expression represents 72 kilometers per hour expressed as meters per hour?

A man earns $40 for a period of 5 hours that he works per day. Thereafter , for every additional hour , he earns $5 per hour. If the man earns $P in a day working for t hours, where t>5 and is an integer , and P≤60, which of the following sets of value of P and t satisfy the above conditions ?

Similar Questions

Recommended Questions