Maria opens a savings account with $50 and then saves $19 each week. How many weeks will it take for her account to reach $259? Represent this problem with an equation in the form px+q=r .(1 point)
Responses
19x−50=259
19 x minus 50 equals 259
259+50=19x
259 plus 50 equals 19 x
50x+19=259
50 x plus 19 equals 259
19x+50=259
19x+50=259
The correct equation to represent this problem is:
19x + 50 = 259
To solve this problem, we need to set up an equation in the form px + q = r, where x represents the number of weeks.
In this case, Maria saves $19 each week, so the amount she saves in x weeks is 19x. Since she opened the account with $50, the initial amount in her account is $50.
Therefore, the equation representing this problem is: 19x + 50 = 259. In this equation, 19x represents the total amount Maria saves in x weeks, 50 represents the initial amount in her account, and 259 represents the target amount she wants to reach.
So, the correct equation is 19x + 50 = 259.
Annette’s soccer team will play 15 games this season. That is 7 games fewer than 2 times the number of games they played last season. How many games did they play last season? Represent this problem with an equation in the form px+q=r .(1 point)
Responses
15−7=2x
15 minus 7 equals 2 x
2x+7=15
2 x plus 7 equals 15
2x−7=15
2 x minus 7 equals 15
7−2x=15
To represent this problem with an equation in the form px + q = r, let x represent the number of games they played last season.
The given information is that they will play 15 games this season, which is 7 games fewer than 2 times the number of games they played last season. So, 2x - 7 represents the number of games they played last season.
Therefore, the equation representing this problem is:
2x - 7 = 15.
So, the correct equation is 2x - 7 = 15.
Solve the following real-world problem: Destiny opens a checking account with $100 and then deposits $27 each week. How many weeks will it take for her account to reach $343? (1 point)
Responses
16.4 weeks
16.4 weeks
12.7 weeks
12.7 weeks
9 weeks
9 weeks
3.16 weeks
To solve this problem, we can set up an equation in the form px + q = r, where x represents the number of weeks.
In this case, Destiny deposits $27 each week, so the amount she deposits in x weeks is 27x. Since she opened the account with $100, the initial amount in her account is $100.
Therefore, the equation representing this problem is: 27x + 100 = 343. In this equation, 27x represents the total amount Destiny deposits in x weeks, 100 represents the initial amount in her account, and 343 represents the target amount she wants to reach.
To solve the equation:
27x + 100 = 343
Subtract 100 from both sides:
27x = 243
Divide both sides by 27:
x = 9
So, it will take Destiny 9 weeks for her account to reach $343. Therefore, the correct response is 9 weeks.
Solve the following real-world problem: Ahmadullah’s basketball team will play 21 games this season. That is 12 games more than 13 the number of games they played last season. How many games did they play last season?(1 point)
Responses
11 games
11 games
27 games
27 games
7 games
7 games
33 games
To solve this problem, we can set up an equation in the form px + q = r, where x represents the number of games they played last season.
The given information is that they will play 21 games this season, which is 12 games more than 13 times the number of games they played last season. So, 13x + 12 represents the number of games they played last season.
Therefore, the equation representing this problem is:
13x + 12 = 21.
To solve the equation:
13x = 21 - 12
13x = 9
Divide both sides by 13:
x = 9/13
So, they played approximately 0.69 games last season. This is not a whole number, so none of the provided responses are correct.