little help?
1)The function g(t) = 2t represents the number of guitar lessons, g(t), you can complete in t months. How many guitar lessons can you complete in 7 months?
2)A taco stand sells tacos for $3.25 each. The stand’s expenses for the day are $210. Write an inequality to represent the amount of tacos they need to sell per day to make a profit, and then solve the inequality.
3)Write an equation of a line whose graph is parallel to the graph of y = 3x – 10.
thanx!
1.
2 x 7 ?
2. let the number tacos be x
3.25x ≥ 210
x ≥ 64.6
They should sell 65 or more tacos per day to make a profit
3.
y = 3x - 1
y = 3x - 5678
y = 3x + 43.2
y = 3x + √123
etc
1) To find the number of guitar lessons you can complete in 7 months using the function g(t) = 2t, substitute t = 7 into the function.
g(7) = 2 * 7
= 14
Therefore, you can complete 14 guitar lessons in 7 months.
2) To write an inequality representing the amount of tacos they need to sell per day to make a profit, let's denote the number of tacos sold as x. The profit made from selling x tacos can be calculated by subtracting the expenses from the revenue.
Revenue = tacos sold * price per taco = 3.25x
Expenses = $210
To make a profit, the revenue should be greater than the expenses. Therefore, the inequality is:
3.25x > 210
To solve this inequality for x:
Divide both sides of the inequality by 3.25:
x > 64.62
Since you can't sell a fraction of a taco, the minimum number of tacos they need to sell per day to make a profit is 65.
3) To find an equation of a line that is parallel to the graph of y = 3x – 10, we note that parallel lines have the same slope. The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
From y = 3x - 10, we can see that the slope is 3. Therefore, any line parallel to this graph will have the same slope of 3.
So the equation of a line parallel to y = 3x - 10 will be y = 3x + b, where b is the y-intercept.
You can choose any value for b to get a specific equation parallel to the given line. For example, the equation y = 3x + 5 is parallel to y = 3x - 10.