Answer:
Part A: We know that 3 bushels is $24, and that rate remains constant, as the graph has a straight line.
Divide both sides by 3 to get 1 bushel=$8.
We can also double check with the other values: 48/6=$8 per bushel, 72/9=$8 per bushel, and so on.
The rate of change is the slope of a line (how much one value changes when the other value does). In this equation, the equation of the line is y=8x, so the slope is 8. Therefore, the rate of change is 8.
Part B: In the previous year, each bushel of corn was 21/3, 42/6, etc., or $7 a bushel. This year, it is $8, so $8-$7=$1
Step-by-step explanation:
your welcome
Answer:
"I can find the maximum or minimum by looking at the factored expression of a quadratic function by reading off its roots and taking the arithmetic average of them to obtain the
-coordinate of the quadratic function, and then substituting that value into the function."
Step-by-step explanation:
Because of the symmetry of quadratics (which is the case here because we have two factors of degree 1, so we are dealing with a <em>polynomial</em> of degree 2, which is a fancy way of saying that something is a quadratic), the
-coordinate of the extremum (a fancy way of saying maximum or minimum) is the (arithmetic) average of the two roots.
In the factored form of a quadratic function, we can immediately read the roots: 3 and 7. Another way to see that is to solve
, which gives
(the 'V' stands for 'or'). We can take the average of the two roots to get the
-coordinate of the minimum point of the graph (which, in this case, is
).
Having the
-coordinate of the extremum, we can substitute this value into the function to obtain the maximum or minimum point of the graph, because that will give the
-coordinate of the extremum.
Answer:
Mateo jogged 8 3/20 miles in the past 2 days.
Step-by-step explanation:
Given:-
Distance on Saturday = 3 3/4
Distance on Sunday = 4 2/5
Total distance = 3 3/4 + 4 2/5
= 15/4 + 22/5
= LCM of deniminators (20)
= 75/20 + 88/20
= (75 + 88)/20
= 163/20
= 8 3/20
= a₁ + d(n - 1) ; where "a₁" is the first term and "d" is the difference
a₂₄₀ = a₁ + d(240 - 1)
a₂₄₀ = a₁ + 239d