Miguel and his mom are planting vegetables in their garden. Miguel has finished planting 1 row of carrots so far and is planting new rows at a rate of 4 rows per hour. His mom has finished 7 rows of tomatoes and will continue planting at 1 row per hour. Once the pair get to the point where they have finished the same number of rows, they will take a break and decide what to plant next. How many rows will they each have completed?Write a system of equations, graph them, and type the solution.____ rows
Q. Miguel and his mom are planting vegetables in their garden. Miguel has finished planting 1 row of carrots so far and is planting new rows at a rate of 4 rows per hour. His mom has finished 7 rows of tomatoes and will continue planting at 1 row per hour. Once the pair get to the point where they have finished the same number of rows, they will take a break and decide what to plant next. How many rows will they each have completed?Write a system of equations, graph them, and type the solution.____ rows
Define Variables and Equations: Define the variables and write the equations for Miguel and his mom's planting rates. Miguel has already planted 1 row and plants 4 more rows per hour. His mom has already planted 7 rows and plants 1 more row per hour. Let t be the time in hours after which they will have planted the same number of rows.Miguel's rows: 1+4tMom's rows: 7+t
Set Equations Equal: Set the equations equal to find the time when they have the same number of rows. 1+4t=7+t
Solve for t: Solve for t by isolating t on one side.1+4t−t=73t=6t=2
Substitute t and Find Rows: Substitute t=2 back into either equation to find the number of rows each has completed.Using Miguel's equation: 1+4(2)=1+8=9
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