Manuel got a new job and was given a hiring bonus along with his monthly salary. His earnings after x months are modeled by the function f(x)=1,500x+300. How much did he receive as a hiring bonus?(1 point)
3 answers
The hiring bonus is represented by the constant term in the function, which is $300. Therefore, Manuel received a hiring bonus of $\boxed{300}$.
Last year, Alayah ordered 4 cubic yards of soil and spent $220. This year, she orders 7 cubic yards of soil and spends $340. Write the equation of the linear function that models the relationship between the number of cubic yards of soil ordered and the total cost. Enter your answer in y=mx+b form.(1 point)
To write the equation of the linear function, we need to find the slope and the y-intercept.
The slope is equal to the change in y (total cost) divided by the change in x (number of cubic yards of soil ordered):
slope = (340 - 220) / (7 - 4) = 40
The y-intercept can be found by plugging in one set of values for x and y and solving for b. We'll use the second set of values:
340 = 40(7) + b
b = 50
Therefore, the equation of the linear function is:
y = 40x + 50
In y=mx+b form, this becomes:
$\boxed{y = 40x + 50}$
The slope is equal to the change in y (total cost) divided by the change in x (number of cubic yards of soil ordered):
slope = (340 - 220) / (7 - 4) = 40
The y-intercept can be found by plugging in one set of values for x and y and solving for b. We'll use the second set of values:
340 = 40(7) + b
b = 50
Therefore, the equation of the linear function is:
y = 40x + 50
In y=mx+b form, this becomes:
$\boxed{y = 40x + 50}$
1 answer