To determine the gradient (slope) and the y-intercept of the line given by the equation \(10y = 3x + 15\), we first need to rewrite the equation in the slope-intercept form, which is \(y = mx + c\), where \(m\) is the gradient and \(c\) is the y-intercept.

Step-by-Step Calculation:

1. Rewrite the equation in slope-intercept form:

\[
10y = 3x + 15
\]

Divide both sides of the equation by 10 to solve for \(y\):

\[
y = \frac{3x + 15}{10} = \frac{3}{10}x + \frac{15}{10}
\]

Simplify:

\[
y = 0.3x + 1.5
\]

2. Identify the gradient and y-intercept:

- The gradient \(m\) is the coefficient of \(x\), which is \(0.3\).
- The y-intercept \(c\) is the constant term, which is \(1.5\).


The correct answer is A. The gradient is 0.3 and the y-intercept is 1.5